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28<meta>
29      <topic id="textscalc0104060185xml" indexer="include">
30         <title xml-lang="en-US" id="tit">Statistical Functions Part Five</title>
31         <filename>/text/scalc/01/04060185.xhp</filename>
32      </topic>
33   </meta>
34   <body>
35      <paragraph xml-lang="en-US" id="hd_id3147072" role="heading" level="1" l10n="U" oldref="1"><variable id="rz"><link href="text/scalc/01/04060185.xhp" name="Statistical Functions Part Five">Statistical Functions Part Five</link>
36</variable></paragraph>
37<sort order="asc">
38<section id="rank">
39<bookmark xml-lang="en-US" branch="index" id="bm_id3155071"><bookmark_value>RANK function</bookmark_value>
40         <bookmark_value>numbers;determining ranks</bookmark_value>
41</bookmark>
42<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_RANG" id="bm_id3146778" localize="false"/>
43<paragraph xml-lang="en-US" id="hd_id3155071" role="heading" level="2" l10n="U" oldref="2">RANK</paragraph>
44         <paragraph xml-lang="en-US" id="par_id3153976" role="paragraph" l10n="U" oldref="3"><ahelp hid="HID_FUNC_RANG">Returns the rank of a number in a sample.</ahelp></paragraph>
45         <paragraph xml-lang="en-US" id="hd_id3159206" role="heading" level="3" l10n="U" oldref="4">Syntax</paragraph>
46         <paragraph xml-lang="en-US" id="par_id3153250" role="code" l10n="U" oldref="5">RANK(Value; Data; Type)</paragraph>
47         <paragraph xml-lang="en-US" id="par_id3154543" role="paragraph" l10n="U" oldref="6">
48            <emph>Value</emph> is the value, whose rank is to be determined.</paragraph>
49         <paragraph xml-lang="en-US" id="par_id3149130" role="paragraph" l10n="U" oldref="7">
50            <emph>Data</emph> is the array or range of data in the sample.</paragraph>
51         <paragraph xml-lang="en-US" id="par_id3150215" role="paragraph" l10n="CHG" oldref="8">
52            <emph>Type</emph> (optional) is the sequence order.</paragraph>
53         <paragraph xml-lang="en-US" id="par_id9305398" role="paragraph" l10n="NEW">Type = 0 means descending from the last item of the array to the first (this is the default), </paragraph>
54         <paragraph xml-lang="en-US" id="par_id9996948" role="paragraph" l10n="NEW">Type = 1 means ascending from the first item of the range to the last.</paragraph>
55         <paragraph xml-lang="en-US" id="hd_id3143223" role="heading" level="3" l10n="U" oldref="9">Example</paragraph>
56         <paragraph xml-lang="en-US" id="par_id3155919" role="paragraph" l10n="U" oldref="10">
57            <item type="input">=RANK(A10;A1:A50)</item> returns the ranking of the value in A10 in value range A1:A50. If <item type="literal">Value</item> does not exist within the range an error message is displayed.</paragraph>
58      </section>
59      <section id="skew">
60<bookmark xml-lang="en-US" branch="index" id="bm_id3153556"><bookmark_value>SKEW function</bookmark_value>
61</bookmark>
62<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_SCHIEFE" id="bm_id3153801" localize="false"/>
63<paragraph xml-lang="en-US" id="hd_id3153556" role="heading" level="2" l10n="U"
64                    oldref="12">SKEW</paragraph>
65         <paragraph xml-lang="en-US" id="par_id3153485" role="paragraph" l10n="U" oldref="13"><ahelp hid="HID_FUNC_SCHIEFE">Returns the skewness of a distribution.</ahelp></paragraph>
66         <paragraph xml-lang="en-US" id="hd_id3154733" role="heading" level="3" l10n="U"
67                    oldref="14">Syntax</paragraph>
68         <paragraph xml-lang="en-US" id="par_id3151191" role="code" l10n="U" oldref="15">SKEW(Number1; Number2; ...Number30)</paragraph>
69         <paragraph xml-lang="en-US" id="par_id3155757" role="paragraph" l10n="CHG" oldref="16">
70            <emph>Number1, Number2...Number30</emph> are numerical values or ranges.</paragraph>
71         <paragraph xml-lang="en-US" id="hd_id3153297" role="heading" level="3" l10n="U"
72                    oldref="17">Example</paragraph>
73         <paragraph xml-lang="en-US" id="par_id3145118" role="paragraph" l10n="U" oldref="18">
74            <item type="input">=SKEW(A1:A50)</item> calculates the value of skew for the data referenced.</paragraph>
75      </section>
76      <section id="forecast">
77<bookmark xml-lang="en-US" branch="index" id="bm_id3149051"><bookmark_value>regression lines;FORECAST function</bookmark_value>
78         <bookmark_value>extrapolations</bookmark_value>
79         <bookmark_value>FORECAST function</bookmark_value>
80</bookmark>
81<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_SCHAETZER" id="bm_id3146102" localize="false"/><comment>mw made "regression lines" a two level entry</comment>
82<paragraph xml-lang="en-US" id="hd_id3149051" role="heading" level="2" l10n="U"
83                    oldref="20">FORECAST</paragraph>
84         <paragraph xml-lang="en-US" id="par_id3153290" role="paragraph" l10n="U" oldref="21"><ahelp hid="HID_FUNC_SCHAETZER">Extrapolates future values based on existing x and y values.</ahelp></paragraph>
85         <paragraph xml-lang="en-US" id="hd_id3151343" role="heading" level="3" l10n="U"
86                    oldref="22">Syntax</paragraph>
87         <paragraph xml-lang="en-US" id="par_id3147404" role="code" l10n="U" oldref="23">FORECAST(Value; DataY; DataX)</paragraph>
88         <paragraph xml-lang="en-US" id="par_id3148743" role="paragraph" l10n="U" oldref="24">
89            <emph>Value</emph> is the x value, for which the y value on the linear regression is to be returned.</paragraph>
90         <paragraph xml-lang="en-US" id="par_id3146325" role="paragraph" l10n="U" oldref="25">
91            <emph>DataY</emph> is the array or range of known y's.</paragraph>
92         <paragraph xml-lang="en-US" id="par_id3150536" role="paragraph" l10n="U" oldref="26">
93            <emph>DataX</emph> is the array or range of known x's.</paragraph>
94         <paragraph xml-lang="en-US" id="hd_id3147416" role="heading" level="3" l10n="U"
95                    oldref="27">Example</paragraph>
96         <paragraph xml-lang="en-US" id="par_id3157874" role="paragraph" l10n="U" oldref="28">
97            <item type="input">=FORECAST(50;A1:A50;B1;B50)</item> returns the Y value expected for the X value of 50 if the X and Y values in both references are linked by a linear trend.</paragraph>
98      </section>
99      <section id="stdev">
100<bookmark xml-lang="en-US" branch="index" id="bm_id3149143"><bookmark_value>STDEV function</bookmark_value>
101         <bookmark_value>standard deviations in statistics;based on a sample</bookmark_value>
102</bookmark>
103<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABW" id="bm_id3153121" localize="false"/>
104<paragraph xml-lang="en-US" id="hd_id3149143" role="heading" level="2" l10n="U"
105                    oldref="30">STDEV</paragraph>
106         <paragraph xml-lang="en-US" id="par_id3146888" role="paragraph" l10n="U" oldref="31"><ahelp hid="HID_FUNC_STABW">Estimates the standard deviation based on a sample.</ahelp></paragraph>
107         <paragraph xml-lang="en-US" id="hd_id3146815" role="heading" level="3" l10n="U"
108                    oldref="32">Syntax</paragraph>
109         <paragraph xml-lang="en-US" id="par_id3149946" role="code" l10n="U" oldref="33">STDEV(Number1; Number2; ...Number30)</paragraph>
110         <paragraph xml-lang="en-US" id="par_id3157904" role="paragraph" l10n="CHG" oldref="34">
111            <emph>Number1, Number2, ... Number30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
112         <paragraph xml-lang="en-US" id="hd_id3150650" role="heading" level="3" l10n="U"
113                    oldref="35">Example</paragraph>
114         <paragraph xml-lang="en-US" id="par_id3149434" role="paragraph" l10n="U" oldref="36">
115            <item type="input">=STDEV(A1:A50)</item> returns the estimated standard deviation based on the data referenced.</paragraph>
116      </section>
117      <section id="stdeva">
118<bookmark xml-lang="en-US" branch="index" id="bm_id3144745"><bookmark_value>STDEVA function</bookmark_value>
119</bookmark>
120<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABWA" id="bm_id3154846" localize="false"/>
121<paragraph xml-lang="en-US" id="hd_id3144745" role="heading" level="2" l10n="U"
122                    oldref="186">STDEVA</paragraph>
123         <paragraph xml-lang="en-US" id="par_id3151234" role="paragraph" l10n="U" oldref="187"><ahelp hid="HID_FUNC_STABWA">Calculates the standard deviation of an estimation based on a sample.</ahelp></paragraph>
124         <paragraph xml-lang="en-US" id="hd_id3148884" role="heading" level="3" l10n="U"
125                    oldref="188">Syntax</paragraph>
126         <paragraph xml-lang="en-US" id="par_id3147422" role="code" l10n="U" oldref="189">STDEVA(Value1;Value2;...Value30)</paragraph>
127         <paragraph xml-lang="en-US" id="par_id3154547" role="paragraph" l10n="CHG" oldref="190">
128            <emph>Value1, Value2, ...Value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
129         <paragraph xml-lang="en-US" id="hd_id3155829" role="heading" level="3" l10n="U"
130                    oldref="191">Example</paragraph>
131         <paragraph xml-lang="en-US" id="par_id3148581" role="paragraph" l10n="U" oldref="192">
132            <item type="input">=STDEVA(A1:A50)</item> returns the estimated standard deviation based on the data referenced.</paragraph>
133      </section>
134      <section id="stdevp">
135<bookmark xml-lang="en-US" branch="index" id="bm_id3149734"><bookmark_value>STDEVP function</bookmark_value>
136         <bookmark_value>standard deviations in statistics;based on a population</bookmark_value>
137</bookmark>
138<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABWN" id="bm_id3146139" localize="false"/>
139<paragraph xml-lang="en-US" id="hd_id3149734" role="heading" level="2" l10n="U"
140                    oldref="38">STDEVP</paragraph>
141         <paragraph xml-lang="en-US" id="par_id3149187" role="paragraph" l10n="U" oldref="39"><ahelp hid="HID_FUNC_STABWN">Calculates the standard deviation based on the entire population.</ahelp></paragraph>
142         <paragraph xml-lang="en-US" id="hd_id3154387" role="heading" level="3" l10n="U"
143                    oldref="40">Syntax</paragraph>
144         <paragraph xml-lang="en-US" id="par_id3154392" role="code" l10n="U" oldref="41">STDEVP(Number1;Number2;...Number30)</paragraph>
145         <paragraph xml-lang="en-US" id="par_id3155261" role="paragraph" l10n="CHG" oldref="42">
146            <emph>Number 1,Number 2,...Number 30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
147         <paragraph xml-lang="en-US" id="hd_id3145591" role="heading" level="3" l10n="U"
148                    oldref="43">Example</paragraph>
149         <paragraph xml-lang="en-US" id="par_id3153933" role="paragraph" l10n="U" oldref="44">
150            <item type="input">=STDEVP(A1:A50)</item> returns a standard deviation of the data referenced.</paragraph>
151      </section>
152      <section id="stdevpa">
153<bookmark xml-lang="en-US" branch="index" id="bm_id3154522"><bookmark_value>STDEVPA function</bookmark_value>
154</bookmark>
155<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STABWNA" id="bm_id3150902" localize="false"/>
156<paragraph xml-lang="en-US" id="hd_id3154522" role="heading" level="2" l10n="U"
157                    oldref="194">STDEVPA</paragraph>
158         <paragraph xml-lang="en-US" id="par_id3149549" role="paragraph" l10n="U" oldref="195"><ahelp hid="HID_FUNC_STABWNA">Calculates the standard deviation based on the entire population.</ahelp></paragraph>
159         <paragraph xml-lang="en-US" id="hd_id3155950" role="heading" level="3" l10n="U"
160                    oldref="196">Syntax</paragraph>
161         <paragraph xml-lang="en-US" id="par_id3146851" role="code" l10n="U" oldref="197">STDEVPA(Value1;Value2;...Value30)</paragraph>
162         <paragraph xml-lang="en-US" id="par_id3153109" role="paragraph" l10n="CHG" oldref="198">
163            <emph>Value1,value2,...value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
164         <paragraph xml-lang="en-US" id="hd_id3154506" role="heading" level="3" l10n="U"
165                    oldref="199">Example</paragraph>
166         <paragraph xml-lang="en-US" id="par_id3145163" role="paragraph" l10n="U" oldref="200">
167            <item type="input">=STDEVPA(A1:A50)</item> returns the standard deviation of the data referenced.</paragraph>
168      </section>
169      <section id="standardize">
170<bookmark xml-lang="en-US" branch="index" id="bm_id3155928"><bookmark_value>STANDARDIZE function</bookmark_value>
171         <bookmark_value>converting;random variables, into normalized values</bookmark_value>
172</bookmark>
173<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STANDARDISIERUNG" id="bm_id3148764" localize="false"/>
174<paragraph xml-lang="en-US" id="hd_id3155928" role="heading" level="2" l10n="U"
175                    oldref="46">STANDARDIZE</paragraph>
176         <paragraph xml-lang="en-US" id="par_id3149883" role="paragraph" l10n="U" oldref="47"><ahelp hid="HID_FUNC_STANDARDISIERUNG">Converts a random variable to a normalized value.</ahelp></paragraph>
177         <paragraph xml-lang="en-US" id="hd_id3154330" role="heading" level="3" l10n="U"
178                    oldref="48">Syntax</paragraph>
179         <paragraph xml-lang="en-US" id="par_id3150132" role="code" l10n="U" oldref="49">STANDARDIZE(Number; Mean; StDev)</paragraph>
180         <paragraph xml-lang="en-US" id="par_id3159139" role="paragraph" l10n="U" oldref="50">
181            <emph>Number</emph> is the value to be standardized.</paragraph>
182         <paragraph xml-lang="en-US" id="par_id3145241" role="paragraph" l10n="U" oldref="51">
183            <emph>Mean</emph> is the arithmetic mean of the distribution.</paragraph>
184         <paragraph xml-lang="en-US" id="par_id3148874" role="paragraph" l10n="U" oldref="52">
185            <emph>StDev</emph> is the standard deviation of the distribution.</paragraph>
186         <paragraph xml-lang="en-US" id="hd_id3145351" role="heading" level="3" l10n="U"
187                    oldref="53">Example</paragraph>
188         <paragraph xml-lang="en-US" id="par_id3156067" role="paragraph" l10n="U" oldref="54">
189            <item type="input">=STANDARDIZE(11;10;1)</item> returns 1. The value 11 in a normal distribution with a mean of 10 and a standard deviation of 1 is as much above the mean of 10, as the value 1 is above the mean of the standard normal distribution.</paragraph>
190      </section>
191      <section id="normsinv">
192<bookmark xml-lang="en-US" branch="index" id="bm_id3157986"><bookmark_value>NORMSINV function</bookmark_value>
193         <bookmark_value>normal distribution;inverse of standard</bookmark_value>
194</bookmark>
195<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STANDNORMINV" id="bm_id3148389" localize="false"/>
196<paragraph xml-lang="en-US" id="hd_id3157986" role="heading" level="2" l10n="U"
197                    oldref="56">NORMSINV</paragraph>
198         <paragraph xml-lang="en-US" id="par_id3151282" role="paragraph" l10n="U" oldref="57"><ahelp hid="HID_FUNC_STANDNORMINV">Returns the inverse of the standard normal cumulative distribution.</ahelp></paragraph>
199         <paragraph xml-lang="en-US" id="hd_id3153261" role="heading" level="3" l10n="U"
200                    oldref="58">Syntax</paragraph>
201         <paragraph xml-lang="en-US" id="par_id3154195" role="code" l10n="U" oldref="59">NORMINV(Number)</paragraph>
202         <paragraph xml-lang="en-US" id="par_id3148772" role="paragraph" l10n="U" oldref="60">
203            <emph>Number</emph> is the probability to which the inverse standard normal distribution is calculated.</paragraph>
204         <paragraph xml-lang="en-US" id="hd_id3150934" role="heading" level="3" l10n="U"
205                    oldref="61">Example</paragraph>
206         <paragraph xml-lang="en-US" id="par_id3149030" role="paragraph" l10n="U" oldref="62">
207            <item type="input">=NORMSINV(0.908789)</item> returns 1.3333.</paragraph>
208      </section>
209      <section id="normsdist">
210<bookmark xml-lang="en-US" branch="index" id="bm_id3147538"><bookmark_value>NORMSDIST function</bookmark_value>
211         <bookmark_value>normal distribution;statistics</bookmark_value>
212</bookmark>
213<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STANDNORMVERT" id="bm_id3145269" localize="false"/>
214<paragraph xml-lang="en-US" id="hd_id3147538" role="heading" level="2" l10n="U"
215                    oldref="64">NORMSDIST</paragraph>
216         <paragraph xml-lang="en-US" id="par_id3150474" role="paragraph" l10n="CHG" oldref="65"><ahelp hid="HID_FUNC_STANDNORMVERT">Returns the standard normal cumulative distribution function. The distribution has a mean of zero and a standard deviation of one.</ahelp></paragraph>
217         <paragraph xml-lang="en-US" id="par_id8652302" role="paragraph" l10n="NEW">It is GAUSS(x)=NORMSDIST(x)-0.5</paragraph>
218         <paragraph xml-lang="en-US" id="hd_id3155083" role="heading" level="3" l10n="U"
219                    oldref="66">Syntax</paragraph>
220         <paragraph xml-lang="en-US" id="par_id3158411" role="code" l10n="U" oldref="67">NORMSDIST(Number)</paragraph>
221         <paragraph xml-lang="en-US" id="par_id3154950" role="paragraph" l10n="CHG" oldref="68">
222            <emph>Number</emph> is the value to which the standard normal cumulative distribution is calculated.</paragraph>
223         <paragraph xml-lang="en-US" id="hd_id3153228" role="heading" level="3" l10n="U"
224                    oldref="69">Example</paragraph>
225         <paragraph xml-lang="en-US" id="par_id3155984" role="paragraph" l10n="U" oldref="70">
226            <item type="input">=NORMSDIST(1)</item> returns 0.84. The area below the standard normal distribution curve to the left of X value 1 is 84% of the total area.</paragraph>
227      </section>
228      <section id="slope">
229<bookmark xml-lang="en-US" branch="index" id="bm_id3152592"><bookmark_value>SLOPE function</bookmark_value>
230</bookmark>
231<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STEIGUNG" id="bm_id3153716" localize="false"/>
232<paragraph xml-lang="en-US" id="hd_id3152592" role="heading" level="2" l10n="U"
233                    oldref="72">SLOPE</paragraph>
234         <paragraph xml-lang="en-US" id="par_id3150386" role="paragraph" l10n="U" oldref="73"><ahelp hid="HID_FUNC_STEIGUNG">Returns the slope of the linear regression line.</ahelp> The slope is adapted to the data points set in the y and x values.</paragraph>
235         <paragraph xml-lang="en-US" id="hd_id3154315" role="heading" level="3" l10n="U"
236                    oldref="74">Syntax</paragraph>
237         <paragraph xml-lang="en-US" id="par_id3149819" role="code" l10n="U" oldref="75">SLOPE(DataY; DataX)</paragraph>
238         <paragraph xml-lang="en-US" id="par_id3083446" role="paragraph" l10n="U" oldref="76">
239            <emph>DataY</emph> is the array or matrix of Y data.</paragraph>
240         <paragraph xml-lang="en-US" id="par_id3152375" role="paragraph" l10n="U" oldref="77">
241            <emph>DataX</emph> is the array or matrix of X data.</paragraph>
242         <paragraph xml-lang="en-US" id="hd_id3146061" role="heading" level="3" l10n="U"
243                    oldref="78">Example</paragraph>
244         <paragraph xml-lang="en-US" id="par_id3152480" role="paragraph" l10n="U" oldref="79">
245            <item type="input">=SLOPE(A1:A50;B1:B50)</item>
246         </paragraph>
247      </section>
248      <section id="steyx">
249<bookmark xml-lang="en-US" branch="index" id="bm_id3155836"><bookmark_value>STEYX function</bookmark_value>
250         <bookmark_value>standard errors;statistical functions</bookmark_value>
251</bookmark><comment>mw changed "standard errors"</comment>
252<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_STFEHLERYX" id="bm_id3150964" localize="false"/>
253<paragraph xml-lang="en-US" id="hd_id3155836" role="heading" level="2" l10n="U"
254                    oldref="81">STEYX</paragraph>
255         <paragraph xml-lang="en-US" id="par_id3149446" role="paragraph" l10n="U" oldref="82"><ahelp hid="HID_FUNC_STFEHLERYX">Returns the standard error of the predicted y value for each x in the regression.</ahelp></paragraph>
256         <paragraph xml-lang="en-US" id="hd_id3147562" role="heading" level="3" l10n="U"
257                    oldref="83">Syntax</paragraph>
258         <paragraph xml-lang="en-US" id="par_id3151267" role="code" l10n="U" oldref="84">STEYX(DataY; DataX)</paragraph>
259         <paragraph xml-lang="en-US" id="par_id3147313" role="paragraph" l10n="U" oldref="85">
260            <emph>DataY</emph> is the array or matrix of Y data.</paragraph>
261         <paragraph xml-lang="en-US" id="par_id3156097" role="paragraph" l10n="U" oldref="86">
262            <emph>DataX</emph> is the array or matrix of X data.</paragraph>
263         <paragraph xml-lang="en-US" id="hd_id3145204" role="heading" level="3" l10n="U"
264                    oldref="87">Example</paragraph>
265         <paragraph xml-lang="en-US" id="par_id3156131" role="paragraph" l10n="U" oldref="88">
266            <item type="input">=STEXY(A1:A50;B1:B50)</item>
267         </paragraph>
268      </section>
269      <section id="devsq">
270<bookmark xml-lang="en-US" branch="index" id="bm_id3150873"><bookmark_value>DEVSQ function</bookmark_value>
271         <bookmark_value>sums;of squares of deviations</bookmark_value>
272</bookmark>
273<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_SUMQUADABW" id="bm_id3156317" localize="false"/>
274<paragraph xml-lang="en-US" id="hd_id3150873" role="heading" level="2" l10n="U"
275                    oldref="90">DEVSQ</paragraph>
276         <paragraph xml-lang="en-US" id="par_id3154748" role="paragraph" l10n="U" oldref="91"><ahelp hid="HID_FUNC_SUMQUADABW">Returns the sum of squares of deviations based on a sample mean.</ahelp></paragraph>
277         <paragraph xml-lang="en-US" id="hd_id3156121" role="heading" level="3" l10n="U"
278                    oldref="92">Syntax</paragraph>
279         <paragraph xml-lang="en-US" id="par_id3146790" role="code" l10n="U" oldref="93">DEVSQ(Number1; Number2; ...Number30)</paragraph>
280         <paragraph xml-lang="en-US" id="par_id3155995" role="paragraph" l10n="CHG" oldref="94">
281            <emph>Number1, Number2, ...Number30</emph> numerical values or ranges representing a sample. </paragraph>
282         <paragraph xml-lang="en-US" id="hd_id3150254" role="heading" level="3" l10n="U"
283                    oldref="95">Example</paragraph>
284         <paragraph xml-lang="en-US" id="par_id3149136" role="paragraph" l10n="U" oldref="96">
285            <item type="input">=DEVSQ(A1:A50)</item>
286         </paragraph>
287      </section>
288      <section id="tinv">
289<bookmark xml-lang="en-US" branch="index" id="bm_id3149579"><bookmark_value>TINV function</bookmark_value>
290         <bookmark_value>inverse of t-distribution</bookmark_value>
291</bookmark>
292<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_TINV" id="bm_id3153155" localize="false"/>
293<paragraph xml-lang="en-US" id="hd_id3149579" role="heading" level="2" l10n="U"
294                    oldref="98">TINV</paragraph>
295         <paragraph xml-lang="en-US" id="par_id3143232" role="paragraph" l10n="U" oldref="99"><ahelp hid="HID_FUNC_TINV">Returns the inverse of the t-distribution.</ahelp></paragraph>
296         <paragraph xml-lang="en-US" id="hd_id3155101" role="heading" level="3" l10n="U"
297                    oldref="100">Syntax</paragraph>
298         <paragraph xml-lang="en-US" id="par_id3149289" role="code" l10n="U" oldref="101">TINV(Number; DegreesFreedom)</paragraph>
299         <paragraph xml-lang="en-US" id="par_id3154070" role="paragraph" l10n="U" oldref="102">
300            <emph>Number</emph> is the probability associated with the two-tailed t-distribution.</paragraph>
301         <paragraph xml-lang="en-US" id="par_id3155315" role="paragraph" l10n="U" oldref="103">
302            <emph>DegreesFreedom</emph> is the number of degrees of freedom for the t-distribution.</paragraph>
303         <paragraph xml-lang="en-US" id="hd_id3153885" role="heading" level="3" l10n="U"
304                    oldref="104">Example</paragraph>
305         <paragraph xml-lang="en-US" id="par_id3156010" role="paragraph" l10n="CHG" oldref="105">
306            <item type="input">=TINV(0.1;6)</item> returns 1.94</paragraph>
307      </section>
308      <section id="ttest">
309<bookmark xml-lang="en-US" branch="index" id="bm_id3154129"><bookmark_value>TTEST function</bookmark_value>
310</bookmark>
311<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_TTEST" id="bm_id3153981" localize="false"/>
312<paragraph xml-lang="en-US" id="hd_id3154129" role="heading" level="2" l10n="U"
313                    oldref="107">TTEST</paragraph>
314         <paragraph xml-lang="en-US" id="par_id3159184" role="paragraph" l10n="U" oldref="108"><ahelp hid="HID_FUNC_TTEST">Returns the probability associated with a Student's t-Test.</ahelp></paragraph>
315         <paragraph xml-lang="en-US" id="hd_id3147257" role="heading" level="3" l10n="U"
316                    oldref="109">Syntax</paragraph>
317         <paragraph xml-lang="en-US" id="par_id3151175" role="code" l10n="U" oldref="110">TTEST(Data1; Data2; Mode; Type)</paragraph>
318         <paragraph xml-lang="en-US" id="par_id3149202" role="paragraph" l10n="U" oldref="111">
319            <emph>Data1</emph> is the dependent array or range of data for the first record.</paragraph>
320         <paragraph xml-lang="en-US" id="par_id3145666" role="paragraph" l10n="U" oldref="112">
321            <emph>Data2</emph> is the dependent array or range of data for the second record.</paragraph>
322         <paragraph xml-lang="en-US" id="par_id3153903" role="paragraph" l10n="U" oldref="113">
323            <emph>Mode</emph> = 1 calculates the one-tailed test, <emph>Mode</emph> = 2 the two- tailed test.</paragraph>
324         <paragraph xml-lang="en-US" id="par_id3155327" role="paragraph" l10n="U" oldref="114">
325            <emph>Type</emph> is the kind of t-test to perform. Type 1 means paired. Type 2 means two samples, equal variance (homoscedastic). Type 3 means two samples, unequal variance (heteroscedastic).</paragraph>
326         <paragraph xml-lang="en-US" id="hd_id3159342" role="heading" level="3" l10n="U"
327                    oldref="115">Example</paragraph>
328         <paragraph xml-lang="en-US" id="par_id3150119" role="paragraph" l10n="U" oldref="116">
329            <item type="input">=TTEST(A1:A50;B1:B50;2;2)</item>
330         </paragraph>
331      </section>
332      <section id="tdist">
333<bookmark xml-lang="en-US" branch="index" id="bm_id3154930"><bookmark_value>TDIST function</bookmark_value>
334         <bookmark_value>t-distribution</bookmark_value>
335</bookmark>
336<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_TVERT" id="bm_id3153095" localize="false"/>
337<paragraph xml-lang="en-US" id="hd_id3154930" role="heading" level="2" l10n="U"
338                    oldref="118">TDIST</paragraph>
339         <paragraph xml-lang="en-US" id="par_id3153372" role="paragraph" l10n="U" oldref="119"><ahelp hid="HID_FUNC_TVERT">Returns the t-distribution.</ahelp></paragraph>
340         <paragraph xml-lang="en-US" id="hd_id3149911" role="heading" level="3" l10n="U"
341                    oldref="120">Syntax</paragraph>
342         <paragraph xml-lang="en-US" id="par_id3150521" role="code" l10n="U" oldref="121">TDIST(Number; DegreesFreedom; Mode)</paragraph>
343         <paragraph xml-lang="en-US" id="par_id3146991" role="paragraph" l10n="U" oldref="122">
344            <emph>Number</emph> is the value for which the t-distribution is calculated.</paragraph>
345         <paragraph xml-lang="en-US" id="par_id3148824" role="paragraph" l10n="U" oldref="123">
346            <emph>DegreesFreedom</emph> is the number of degrees of freedom for the t-distribution.</paragraph>
347         <paragraph xml-lang="en-US" id="par_id3149340" role="paragraph" l10n="U" oldref="124">
348            <emph>Mode</emph> = 1 returns the one-tailed test, <emph>Mode</emph> = 2 returns the two-tailed test.</paragraph>
349         <paragraph xml-lang="en-US" id="hd_id3159150" role="heading" level="3" l10n="U"
350                    oldref="125">Example</paragraph>
351         <paragraph xml-lang="en-US" id="par_id3149773" role="paragraph" l10n="U" oldref="126">
352            <item type="input">=TDIST(12;5;1)</item>
353         </paragraph>
354      </section>
355      <section id="var">
356<bookmark xml-lang="en-US" branch="index" id="bm_id3153828"><bookmark_value>VAR function</bookmark_value>
357         <bookmark_value>variances</bookmark_value>
358</bookmark>
359<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZ" id="bm_id3154898" localize="false"/>
360<paragraph xml-lang="en-US" id="hd_id3153828" role="heading" level="2" l10n="U"
361                    oldref="128">VAR</paragraph>
362         <paragraph xml-lang="en-US" id="par_id3159165" role="paragraph" l10n="U" oldref="129"><ahelp hid="HID_FUNC_VARIANZ">Estimates the variance based on a sample.</ahelp></paragraph>
363         <paragraph xml-lang="en-US" id="hd_id3154286" role="heading" level="3" l10n="U"
364                    oldref="130">Syntax</paragraph>
365         <paragraph xml-lang="en-US" id="par_id3153054" role="code" l10n="U" oldref="131">VAR(Number1; Number2; ...Number30)</paragraph>
366         <paragraph xml-lang="en-US" id="par_id3148938" role="paragraph" l10n="CHG" oldref="132">
367            <emph>Number1, Number2, ...Number30</emph> are numerical values or ranges representing a sample based on an entire population.</paragraph>
368         <paragraph xml-lang="en-US" id="hd_id3147233" role="heading" level="3" l10n="U"
369                    oldref="133">Example</paragraph>
370         <paragraph xml-lang="en-US" id="par_id3153575" role="paragraph" l10n="U" oldref="134">
371            <item type="input">=VAR(A1:A50)</item>
372         </paragraph>
373      </section>
374      <section id="vara">
375<bookmark xml-lang="en-US" branch="index" id="bm_id3151045"><bookmark_value>VARA function</bookmark_value>
376</bookmark>
377<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZA" id="bm_id3148473" localize="false"/>
378<paragraph xml-lang="en-US" id="hd_id3151045" role="heading" level="2" l10n="U"
379                    oldref="202">VARA</paragraph>
380         <paragraph xml-lang="en-US" id="par_id3155122" role="paragraph" l10n="U" oldref="203"><ahelp hid="HID_FUNC_VARIANZA">Estimates a variance based on a sample. The value of text is 0.</ahelp></paragraph>
381         <paragraph xml-lang="en-US" id="hd_id3149176" role="heading" level="3" l10n="U"
382                    oldref="204">Syntax</paragraph>
383         <paragraph xml-lang="en-US" id="par_id3149999" role="code" l10n="U" oldref="205">VARA(Value1; Value2; ...Value30)</paragraph>
384         <paragraph xml-lang="en-US" id="par_id3158421" role="paragraph" l10n="CHG" oldref="206">
385            <emph>Value1, Value2,...Value30</emph> are values or ranges representing a sample derived from an entire population. Text has the value 0.</paragraph>
386         <paragraph xml-lang="en-US" id="hd_id3149160" role="heading" level="3" l10n="U"
387                    oldref="207">Example</paragraph>
388         <paragraph xml-lang="en-US" id="par_id3154279" role="paragraph" l10n="U" oldref="208">
389            <item type="input">=VARA(A1:A50)</item>
390         </paragraph>
391      </section>
392      <section id="varp">
393<bookmark xml-lang="en-US" branch="index" id="bm_id3166441"><bookmark_value>VARP function</bookmark_value>
394</bookmark>
395<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZEN" id="bm_id3152359" localize="false"/>
396<paragraph xml-lang="en-US" id="hd_id3166441" role="heading" level="2" l10n="U"
397                    oldref="136">VARP</paragraph>
398         <paragraph xml-lang="en-US" id="par_id3159199" role="paragraph" l10n="U" oldref="137"><ahelp hid="HID_FUNC_VARIANZEN">Calculates a variance based on the entire population.</ahelp></paragraph>
399         <paragraph xml-lang="en-US" id="hd_id3150706" role="heading" level="3" l10n="U"
400                    oldref="138">Syntax</paragraph>
401         <paragraph xml-lang="en-US" id="par_id3147282" role="code" l10n="U" oldref="139">VARP(Number1; Number2; ...Number30)</paragraph>
402         <paragraph xml-lang="en-US" id="par_id3149793" role="paragraph" l10n="CHG" oldref="140">
403            <emph>Number1, Number2, ...Number30</emph> are numerical values or ranges representing an entire population.</paragraph>
404         <paragraph xml-lang="en-US" id="hd_id3152939" role="heading" level="3" l10n="U"
405                    oldref="141">Example</paragraph>
406         <paragraph xml-lang="en-US" id="par_id3153385" role="paragraph" l10n="U" oldref="142">
407            <item type="input">=VARP(A1:A50)</item>
408         </paragraph>
409      </section>
410      <section id="varpa">
411<bookmark xml-lang="en-US" branch="index" id="bm_id3153688"><bookmark_value>VARPA function</bookmark_value>
412</bookmark>
413<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIANZENA" id="bm_id3159276" localize="false"/>
414<paragraph xml-lang="en-US" id="hd_id3153688" role="heading" level="2" l10n="U"
415                    oldref="210">VARPA</paragraph>
416         <paragraph xml-lang="en-US" id="par_id3149109" role="paragraph" l10n="U" oldref="211"><ahelp hid="HID_FUNC_VARIANZENA">Calculates the variance based on the entire population. The value of text is 0.</ahelp></paragraph>
417         <paragraph xml-lang="en-US" id="hd_id3152880" role="heading" level="3" l10n="U"
418                    oldref="212">Syntax</paragraph>
419         <paragraph xml-lang="en-US" id="par_id3149967" role="code" l10n="U" oldref="213">VARPA(Value1; Value2; ...Value30)</paragraph>
420         <paragraph xml-lang="en-US" id="par_id3149920" role="paragraph" l10n="CHG" oldref="214">
421            <emph>Value1,value2,...Value30</emph> are values or ranges representing an entire population.</paragraph>
422         <paragraph xml-lang="en-US" id="hd_id3154862" role="heading" level="3" l10n="U"
423                    oldref="215">Example</paragraph>
424         <paragraph xml-lang="en-US" id="par_id3156203" role="paragraph" l10n="U" oldref="216">
425            <item type="input">=VARPA(A1:A50)</item>
426         </paragraph>
427      </section>
428      <section id="permut">
429<bookmark xml-lang="en-US" branch="index" id="bm_id3154599"><bookmark_value>PERMUT function</bookmark_value>
430         <bookmark_value>number of permutations</bookmark_value>
431</bookmark>
432<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIATIONEN" id="bm_id3154610" localize="false"/>
433<paragraph xml-lang="en-US" id="hd_id3154599" role="heading" level="2" l10n="U"
434                    oldref="144">PERMUT</paragraph>
435         <paragraph xml-lang="en-US" id="par_id3154334" role="paragraph" l10n="U" oldref="145"><ahelp hid="HID_FUNC_VARIATIONEN">Returns the number of permutations for a given number of objects.</ahelp></paragraph>
436         <paragraph xml-lang="en-US" id="hd_id3149422" role="heading" level="3" l10n="U"
437                    oldref="146">Syntax</paragraph>
438         <paragraph xml-lang="en-US" id="par_id3148466" role="code" l10n="U" oldref="147">PERMUT(Count1; Count2)</paragraph>
439         <paragraph xml-lang="en-US" id="par_id3148656" role="paragraph" l10n="U" oldref="148">
440            <emph>Count1</emph> is the total number of objects.</paragraph>
441         <paragraph xml-lang="en-US" id="par_id3150826" role="paragraph" l10n="U" oldref="149">
442            <emph>Count2</emph> is the number of objects in each permutation.</paragraph>
443         <paragraph xml-lang="en-US" id="hd_id3153351" role="heading" level="3" l10n="U"
444                    oldref="150">Example</paragraph>
445         <paragraph xml-lang="en-US" id="par_id3150424" role="paragraph" l10n="U" oldref="151">
446            <item type="input">=PERMUT(6;3)</item> returns 120. There are 120 different possibilities, to pick a sequence of 3 playing cards out of 6 playing cards.</paragraph>
447      </section>
448      <section id="permutationa">
449<bookmark xml-lang="en-US" branch="index" id="bm_id3143276"><bookmark_value>PERMUTATIONA function</bookmark_value>
450</bookmark>
451<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_VARIATIONEN2" id="bm_id3153531" localize="false"/>
452<paragraph xml-lang="en-US" id="hd_id3143276" role="heading" level="2" l10n="U"
453                    oldref="153">PERMUTATIONA</paragraph>
454         <paragraph xml-lang="en-US" id="par_id3144759" role="paragraph" l10n="U" oldref="154"><ahelp hid="HID_FUNC_VARIATIONEN2">Returns the number of permutations for a given number of objects (repetition allowed).</ahelp></paragraph>
455         <paragraph xml-lang="en-US" id="hd_id3145598" role="heading" level="3" l10n="U"
456                    oldref="155">Syntax</paragraph>
457         <paragraph xml-lang="en-US" id="par_id3149298" role="code" l10n="U" oldref="156">PERMUTATIONA(Count1; Count2)</paragraph>
458         <paragraph xml-lang="en-US" id="par_id3156139" role="paragraph" l10n="U" oldref="157">
459            <emph>Count1</emph> is the total number of objects.</paragraph>
460         <paragraph xml-lang="en-US" id="par_id3149519" role="paragraph" l10n="U" oldref="158">
461            <emph>Count2</emph> is the number of objects in each permutation.</paragraph>
462         <paragraph xml-lang="en-US" id="hd_id3151382" role="heading" level="3" l10n="U"
463                    oldref="159">Example</paragraph>
464         <paragraph xml-lang="en-US" id="par_id3153949" role="paragraph" l10n="U" oldref="160">How often can 2 objects be selected from a total of 11 objects?</paragraph>
465         <paragraph xml-lang="en-US" id="par_id3149233" role="paragraph" l10n="U" oldref="161">
466            <item type="input">=PERMUTATIONA(11;2)</item> returns 121.</paragraph>
467         <paragraph xml-lang="en-US" id="par_id3150622" role="paragraph" l10n="U" oldref="162">
468            <item type="input">=PERMUTATIONA(6;3)</item> returns 216. There are 216 different possibilities to put a sequence of 3 playing cards together out of six playing cards if every card is returned before the next one is drawn.</paragraph>
469      </section>
470      <section id="prob">
471<bookmark xml-lang="en-US" branch="index" id="bm_id3152952"><bookmark_value>PROB function</bookmark_value>
472</bookmark>
473<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_WAHRSCHBEREICH" id="bm_id3152963" localize="false"/>
474<paragraph xml-lang="en-US" id="hd_id3152952" role="heading" level="2" l10n="U"
475                    oldref="164">PROB</paragraph>
476         <paragraph xml-lang="en-US" id="par_id3154110" role="paragraph" l10n="U" oldref="165"><ahelp hid="HID_FUNC_WAHRSCHBEREICH">Returns the probability that values in a range are between two limits.</ahelp> If there is no <item type="literal">End</item> value, this function calculates the probability based on the principle that the Data values are equal to the value of <item type="literal">Start</item>.</paragraph>
477         <paragraph xml-lang="en-US" id="hd_id3146810" role="heading" level="3" l10n="U"
478                    oldref="166">Syntax</paragraph>
479         <paragraph xml-lang="en-US" id="par_id3147330" role="code" l10n="U" oldref="167">PROB(Data; Probability; Start; End)</paragraph>
480         <paragraph xml-lang="en-US" id="par_id3154573" role="paragraph" l10n="U" oldref="168">
481            <emph>Data</emph> is the array or range of data in the sample.</paragraph>
482         <paragraph xml-lang="en-US" id="par_id3156334" role="paragraph" l10n="U" oldref="169">
483            <emph>Probability</emph> is the array or range of the corresponding probabilities.</paragraph>
484         <paragraph xml-lang="en-US" id="par_id3151107" role="paragraph" l10n="U" oldref="170">
485            <emph>Start</emph> is the start value of the interval whose probabilities are to be summed.</paragraph>
486         <paragraph xml-lang="en-US" id="par_id3153694" role="paragraph" l10n="U" oldref="171">
487            <emph>End</emph> (optional) is the end value of the interval whose probabilities are to be summed. If this parameter is missing, the probability for the <emph>Start </emph>value is calculated.</paragraph>
488         <paragraph xml-lang="en-US" id="hd_id3147574" role="heading" level="3" l10n="U"
489                    oldref="172">Example</paragraph>
490         <paragraph xml-lang="en-US" id="par_id3153666" role="paragraph" l10n="U" oldref="173">
491            <item type="input">=PROB(A1:A50;B1:B50;50;60)</item> returns the probability with which a value within the range of A1:A50 is also within the limits between 50 and 60. Every value within the range of A1:A50 has a probability within the range of B1:B50.</paragraph>
492      </section>
493      <section id="weibull">
494<bookmark xml-lang="en-US" branch="index" id="bm_id3150941"><bookmark_value>WEIBULL function</bookmark_value>
495</bookmark>
496<bookmark xml-lang="en-US" branch="hid/SC_HID_FUNC_WEIBULL" id="bm_id3150405" localize="false"/>
497<paragraph xml-lang="en-US" id="hd_id3150941" role="heading" level="2" l10n="U"
498                    oldref="175">WEIBULL</paragraph>
499         <paragraph xml-lang="en-US" id="par_id3154916" role="paragraph" l10n="U" oldref="176"><ahelp hid="HID_FUNC_WEIBULL">Returns the values of the Weibull distribution.</ahelp></paragraph>
500         <paragraph xml-lang="en-US" id="par_id0305200911372767" role="paragraph" l10n="NEW">The Weibull distribution is a continuous probability distribution, with parameters Alpha &gt; 0 (shape) and Beta &gt; 0 (scale). </paragraph>
501         <paragraph xml-lang="en-US" id="par_id0305200911372777" role="paragraph" l10n="NEW">If C is 0, WEIBULL calculates the probability density function.</paragraph>
502         <paragraph xml-lang="en-US" id="par_id0305200911372743" role="paragraph" l10n="NEW">If C is 1, WEIBULL calculates the cumulative distribution function.</paragraph>
503         <paragraph xml-lang="en-US" id="hd_id3159393" role="heading" level="3" l10n="U"
504                    oldref="177">Syntax</paragraph>
505         <paragraph xml-lang="en-US" id="par_id3154478" role="code" l10n="U" oldref="178">WEIBULL(Number; Alpha; Beta; C)</paragraph>
506         <paragraph xml-lang="en-US" id="par_id3151317" role="paragraph" l10n="U" oldref="179">
507            <emph>Number</emph> is the value at which to calculate the Weibull distribution.</paragraph>
508         <paragraph xml-lang="en-US" id="par_id3158436" role="paragraph" l10n="U" oldref="180">
509            <emph>Alpha </emph>is the shape parameter of the Weibull distribution.</paragraph>
510         <paragraph xml-lang="en-US" id="par_id3154668" role="paragraph" l10n="U" oldref="181">
511            <emph>Beta</emph> is the scale parameter of the Weibull distribution.</paragraph>
512         <paragraph xml-lang="en-US" id="par_id3154825" role="paragraph" l10n="CHG" oldref="182">
513            <emph>C</emph> indicates the type of function.</paragraph>
514         <paragraph xml-lang="en-US" id="hd_id3153794" role="heading" level="3" l10n="U"
515                    oldref="183">Example</paragraph>
516         <paragraph xml-lang="en-US" id="par_id3146077" role="paragraph" l10n="U" oldref="184">
517            <item type="input">=WEIBULL(2;1;1;1)</item> returns 0.86.</paragraph>
518         <paragraph xml-lang="en-US" id="par_id0305200911372899" role="paragraph" l10n="NEW">See also the <link href="https://wiki.openoffice.org/wiki/Documentation/How_Tos/Calc:_WEIBULL_function">Wiki page</link>.</paragraph>
519      </section>
520</sort>
521<section id="relatedtopics">
522         <embed href="text/scalc/01/04060100.xhp#drking"/>
523      </section>
524   </body>
525</helpdocument>