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tabs="inherit">kurt(A, B, C,...)</p></text><indexes><phrase>kurt</phrase><phrase>functions, kurt</phrase></indexes></region><region region-id="372" left="66" top="151.5" width="57.75" height="12.75" align-x="74.25" align-y="162" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="functions" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Ftest(v1, v2)</p></text><indexes><phrase>Ftest</phrase><phrase>functions, Ftest</phrase></indexes></region><region region-id="373" left="36" top="176.25" width="312.75" height="84" align-x="36" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">These functions take single or multiple scalars or arrays, and return the variance, standard deviation, skew, and kurtosis, respectively, giving measures of the dispersion or shape of a data set. 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disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">Var</ml:id><ml:id xml:space="preserve">Weib</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><unitedValue><ml:real>0.22107716373874067</ml:real><unitMonomial xmlns="http://schemas.mathsoft.com/units10"><unitReference unit="kilogram" power-numerator="2" /></unitMonomial></unitedValue></result></ml:eval></math><rendering item-idref="11" /></region><region region-id="386" left="216" top="633" width="99.75" height="12.75" align-x="271.5" align-y="642" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">mean</ml:id><ml:id xml:space="preserve">Weib</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><unitedValue><ml:real>0.89574227949582153</ml:real><unitMonomial xmlns="http://schemas.mathsoft.com/units10"><unitReference unit="kilogram" /></unitMonomial></unitedValue></result></ml:eval></math><rendering item-idref="12" /></region><region region-id="387" left="66" top="651" width="97.5" height="18.75" align-x="114.75" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">Var</ml:id><ml:id xml:space="preserve">Norm</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><unitedValue><ml:real>0.25115904498051728</ml:real><unitMonomial xmlns="http://schemas.mathsoft.com/units10"><unitReference unit="kilogram" power-numerator="2" /></unitMonomial></unitedValue></result></ml:eval></math><rendering item-idref="13" /></region><region region-id="388" left="216" top="657" width="100.5" height="12.75" align-x="272.25" align-y="666" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">mean</ml:id><ml:id xml:space="preserve">Norm</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><unitedValue><ml:real>0.89467210166080791</ml:real><unitMonomial xmlns="http://schemas.mathsoft.com/units10"><unitReference unit="kilogram" /></unitMonomial></unitedValue></result></ml:eval></math><rendering item-idref="14" /></region><region region-id="389" left="66" top="680.25" width="120" height="27.75" align-x="88.5" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:define><ml:id xml:space="preserve">Wei</ml:id><ml:apply><ml:id xml:space="preserve">histogram</ml:id><ml:sequence><ml:real>15</ml:real><ml:apply><ml:div /><ml:id xml:space="preserve">Weib</ml:id><ml:id xml:space="preserve">kg</ml:id></ml:apply></ml:sequence></ml:apply></ml:define></math><rendering item-idref="15" /></region><region region-id="390" left="216" top="680.25" width="120" height="27.75" align-x="237.75" align-y="696" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:define><ml:id xml:space="preserve">Nor</ml:id><ml:apply><ml:id xml:space="preserve">histogram</ml:id><ml:sequence><ml:real>15</ml:real><ml:apply><ml:div /><ml:id xml:space="preserve">Norm</ml:id><ml:id xml:space="preserve">kg</ml:id></ml:apply></ml:sequence></ml:apply></ml:define></math><rendering item-idref="16" /></region><region region-id="391" left="36" top="716.25" width="320.25" height="48" align-x="36" align-y="726" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The smaller variance indicates that the mean value is skewed off to one side of the Weibull distribution, while the larger variance for the normal distribution indicates a more symmetric shape with the mean in the center.</p></text></region><region region-id="392" left="54" top="780" width="309.75" height="177" align-x="54" align-y="780" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><plot disable-calc="false" item-idref="17" /><rendering item-idref="18" /></region><region region-id="393" left="36" top="973.5" width="88.5" height="12.75" align-x="36" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="subsubtitle" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Standard Deviation</p></text><indexes><phrase>standard deviation</phrase></indexes></region><region region-id="394" left="36" top="998.25" width="317.25" height="36" align-x="36" align-y="1008" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The standard deviation is the square root of the variance, and there are upper and lowercase versions of this function as well, corresponding to the upper and lowercase versions of <f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">Var</c></inlineAttr></b></f>/<f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">var</c></inlineAttr></b></f>.</p></text></region><region region-id="395" left="66" top="1063.5" width="99.75" height="14.25" align-x="121.5" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:sqrt /><ml:apply><ml:id xml:space="preserve">Var</ml:id><ml:id xml:space="preserve">Norm</ml:id></ml:apply></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><unitedValue><ml:real>0.501157704700344</ml:real><unitMonomial xmlns="http://schemas.mathsoft.com/units10"><unitReference unit="kilogram" /></unitMonomial></unitedValue></result></ml:eval></math><rendering item-idref="19" /></region><region region-id="396" left="216" top="1065" width="102.75" height="12.75" align-x="274.5" align-y="1074" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">Stdev</ml:id><ml:id xml:space="preserve">Norm</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><unitedValue><ml:real>0.501157704700344</ml:real><unitMonomial xmlns="http://schemas.mathsoft.com/units10"><unitReference unit="kilogram" /></unitMonomial></unitedValue></result></ml:eval></math><rendering item-idref="20" /></region><region region-id="397" left="36" top="1094.25" width="312" height="60" align-x="36" align-y="1104" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Note that the units of standard deviation are the same as those of the original data, making it a slightly more intuitive measure of dispersion. It can be considered a measure of the error in a series of measurements that should be ideally identical.</p></text></region><region region-id="398" left="0" top="1164" width="6000" height="6" align-x="0" align-y="1164" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><pageBreak /></region><region region-id="399" left="36" top="1171.5" width="45" height="12.75" align-x="36" align-y="1182" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="subsubtitle" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Skewness</p></text><indexes><phrase>skewness</phrase></indexes></region><region region-id="400" left="36" top="1196.25" width="318" height="48" align-x="36" align-y="1206" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">A distribution is skewed if its histogram tails off to either the right or the left, as does the Weibull distribution shown above. Skewness in a population can be estimated by the following sample skewness coefficient:</p></text></region><region region-id="401" left="66" top="1263" width="225.75" height="51" align-x="123.75" align-y="1296" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:define><ml:function><ml:id xml:space="preserve">skewness</ml:id><ml:boundVars><ml:id xml:space="preserve">v</ml:id></ml:boundVars></ml:function><ml:apply><ml:div /><ml:apply><ml:mult style="default" /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:apply><ml:vectorSum /><ml:apply><ml:pow /><ml:parens><ml:apply><ml:minus /><ml:id xml:space="preserve">v</ml:id><ml:apply><ml:id xml:space="preserve">mean</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply></ml:apply></ml:parens><ml:real>3</ml:real></ml:apply></ml:apply></ml:apply><ml:apply><ml:mult style="default" /><ml:apply><ml:mult style="default" /><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>1</ml:real></ml:apply></ml:parens><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>2</ml:real></ml:apply></ml:parens></ml:apply><ml:apply><ml:pow /><ml:apply><ml:id xml:space="preserve">Stdev</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>3</ml:real></ml:apply></ml:apply></ml:apply></ml:define></math><rendering item-idref="21" /></region><region region-id="435" left="36" top="1328.25" width="302.25" height="72" align-x="36" align-y="1338" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Positive values of skewness indicate that the distribution is skewed (tails off) to the right, while negative values indicate that the distribution is skewed to the left. (Population skewness values can be positive or negative and are unbounded.) A symmetric distribution, like the normal, will have a skewness value of zero.</p></text></region><region region-id="403" left="66" top="1413" width="106.5" height="12.75" align-x="139.5" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">skewness</ml:id><ml:id xml:space="preserve">Weib</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>0.631024247199058</ml:real></result></ml:eval></math><rendering item-idref="22" /></region><region region-id="404" left="66" top="1437" width="87.75" height="12.75" align-x="120.75" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">skew</ml:id><ml:id xml:space="preserve">Weib</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>0.631024247199058</ml:real></result></ml:eval></math><rendering item-idref="23" /></region><region region-id="405" left="222" top="1437" width="98.25" height="12.75" align-x="282" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">skew</ml:id><ml:apply><ml:neg /><ml:id xml:space="preserve">Weib</ml:id></ml:apply></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>-0.631024247199058</ml:real></result></ml:eval></math><rendering item-idref="24" /></region><region region-id="406" left="36" top="1465.5" width="42" height="12.75" align-x="52.5" align-y="1476" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="subsubtitle" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Kurtosis </p></text><indexes><phrase>kurtosis</phrase></indexes></region><region region-id="407" left="36" top="1490.25" width="301.5" height="36" align-x="36" align-y="1500" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"><f family="Verdana" charset="0" size="10"><b><inlineAttr line-through="false"><c val="#000">kurtosis</c></inlineAttr></b></f><f family="Verdana" charset="0" size="10"><inlineAttr line-through="false"><c val="#000"> measures the heaviness (thickness) of a distribution's tail. Population kurtosis can be estimated by the following sample kurtosis coefficient:</c></inlineAttr></f></p></text></region><region region-id="408" left="66" top="1539" width="288" height="83.25" align-x="117" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:define><ml:function><ml:id xml:space="preserve">kurtosis</ml:id><ml:boundVars><ml:id xml:space="preserve">v</ml:id></ml:boundVars></ml:function><ml:apply><ml:plus split="true" /><ml:apply><ml:div /><ml:apply><ml:mult style="default" /><ml:apply><ml:mult style="default" /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:parens><ml:apply><ml:plus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>1</ml:real></ml:apply></ml:parens></ml:apply><ml:apply><ml:vectorSum /><ml:apply><ml:pow /><ml:parens><ml:apply><ml:minus /><ml:id xml:space="preserve">v</ml:id><ml:apply><ml:id xml:space="preserve">mean</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply></ml:apply></ml:parens><ml:real>4</ml:real></ml:apply></ml:apply></ml:apply><ml:apply><ml:mult style="default" /><ml:apply><ml:mult style="default" /><ml:apply><ml:mult style="default" /><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>1</ml:real></ml:apply></ml:parens><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>2</ml:real></ml:apply></ml:parens></ml:apply><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>3</ml:real></ml:apply></ml:parens></ml:apply><ml:apply><ml:pow /><ml:apply><ml:id xml:space="preserve">Stdev</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>4</ml:real></ml:apply></ml:apply></ml:apply><ml:apply><ml:neg /><ml:apply><ml:div /><ml:apply><ml:mult style="default" /><ml:real>3</ml:real><ml:apply><ml:pow /><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>1</ml:real></ml:apply></ml:parens><ml:real>2</ml:real></ml:apply></ml:apply><ml:apply><ml:mult style="default" /><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>2</ml:real></ml:apply></ml:parens><ml:parens><ml:apply><ml:minus /><ml:apply><ml:id xml:space="preserve">rows</ml:id><ml:id xml:space="preserve">v</ml:id></ml:apply><ml:real>3</ml:real></ml:apply></ml:parens></ml:apply></ml:apply></ml:apply></ml:apply></ml:define></math><rendering item-idref="25" /></region><region region-id="409" left="36" top="1646.25" width="312" height="72" align-x="36" align-y="1656" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">An ideal normal distribution has a kurtosis value of zero. A negative value of kurtosis indicates that the distribution's tail is heavier than that of the normal. (Values for population kurtosis can lie anywhere between -2 and infinity, inclusively.) A positive value of kurtosis indicates that the distribution's tail is thinner than that of the normal. </p></text></region><region region-id="410" left="66" top="1731" width="99.75" height="12.75" align-x="132.75" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">kurtosis</ml:id><ml:id xml:space="preserve">Weib</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>0.23182205519267907</ml:real></result></ml:eval></math><rendering item-idref="26" /></region><region region-id="439" left="222" top="1731" width="100.5" height="12.75" align-x="289.5" align-y="1740" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">kurtosis</ml:id><ml:id xml:space="preserve">Norm</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>0.016840365326979079</ml:real></result></ml:eval></math><rendering item-idref="27" /></region><region region-id="412" left="66" top="1755" width="83.25" height="12.75" align-x="116.25" align-y="1764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">kurt</ml:id><ml:id xml:space="preserve">Weib</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>0.23182205519267729</ml:real></result></ml:eval></math><rendering item-idref="28" /></region><region region-id="437" left="222" top="1755" width="84" height="12.75" align-x="273" align-y="1764" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:eval><ml:apply><ml:id xml:space="preserve">kurt</ml:id><ml:id xml:space="preserve">Norm</ml:id></ml:apply><result xmlns="http://schemas.mathsoft.com/math20"><ml:real>0.016840365326977746</ml:real></result></ml:eval></math><rendering item-idref="29" /></region><region region-id="413" left="0" top="1782" width="6000" height="6" align-x="0" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><pageBreak /></region><region region-id="414" left="36" top="1795.5" width="29.25" height="12.75" align-x="45.75" align-y="1806" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="subsubtitle" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">F test </p></text><indexes><phrase>F test</phrase></indexes></region><region region-id="415" left="36" top="1814.25" width="317.25" height="72" align-x="36" align-y="1824" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><text use-page-width="false" push-down="false" lock-width="true"><p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The <f family="Verdana" charset="0"><b><inlineAttr line-through="false"><c val="#000">Ftest</c></inlineAttr></b></f> function tests the hypothesis that two samples are drawn from distributions having the same variance. The output is a vector of length 2 containing the value of the F statistic, and the probability that a value this large or larger would occur when the distributions have the same variance, that is, samples having the same dispersion.</p></text></region><region region-id="416" left="66" top="1899" width="105" height="46.5" align-x="84.75" align-y="1908" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><component hide-arguments="false" clsid-buddy="577d93c8-ea65-4d05-b631-401168b146e4" item-idref="30" disable-calc="false"><inputs /><outputs><ml:id xml:space="preserve">cer</ml:id></outputs></component><rendering item-idref="31" /></region><region region-id="417" left="66" top="1959" width="180.75" height="12.75" align-x="95.25" align-y="1968" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:define><ml:id 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xml:space="preserve">Batch</ml:id><ml:real>1</ml:real></ml:sequence></ml:apply></ml:apply></ml:define></math><rendering item-idref="33" /></region><region region-id="419" left="228" top="1983" width="140.25" height="12.75" align-x="261" align-y="1992" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" disable-calc="false"><ml:define><ml:id xml:space="preserve">batch2</ml:id><ml:apply><ml:id xml:space="preserve">Re</ml:id><ml:apply><ml:id xml:space="preserve">vlookup</ml:id><ml:sequence><ml:real>2</ml:real><ml:id xml:space="preserve">Batch</ml:id><ml:real>1</ml:real></ml:sequence></ml:apply></ml:apply></ml:define></math><rendering item-idref="34" /></region><region region-id="420" left="66" top="2007" width="100.5" height="12.75" align-x="129" align-y="2016" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""><math optimize="false" 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