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	<id>http://wiki.zcubes.com/index.php?action=history&amp;feed=atom&amp;title=Manuals%2Fcalci%2FAVERAGEMIDDLE</id>
	<title>Manuals/calci/AVERAGEMIDDLE - Revision history</title>
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	<updated>2026-04-28T00:13:16Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>http://wiki.zcubes.com/index.php?title=Manuals/calci/AVERAGEMIDDLE&amp;diff=214768&amp;oldid=prev</id>
		<title>Devika at 09:17, 11 August 2020</title>
		<link rel="alternate" type="text/html" href="http://wiki.zcubes.com/index.php?title=Manuals/calci/AVERAGEMIDDLE&amp;diff=214768&amp;oldid=prev"/>
		<updated>2020-08-11T09:17:34Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 09:17, 11 August 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot; &gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;**AVERAGE(), returns the average of its arguments.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;**AVERAGE(), returns the average of its arguments.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Description==&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*This function gives the Average for given set of numbers from the top.  &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*This function gives the Average for given set of numbers from the top.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Devika</name></author>
	</entry>
	<entry>
		<id>http://wiki.zcubes.com/index.php?title=Manuals/calci/AVERAGEMIDDLE&amp;diff=214761&amp;oldid=prev</id>
		<title>Devika at 06:48, 10 August 2020</title>
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		<updated>2020-08-10T06:48:20Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 06:48, 10 August 2020&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l5&quot; &gt;Line 5:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 5:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;**AVERAGE(), returns the average of its arguments.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;**AVERAGE(), returns the average of its arguments.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;==Description==&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*This function gives the Average for given set of numbers from the top.  &lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;*This function gives the Average for given set of numbers from the top.  &lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Devika</name></author>
	</entry>
	<entry>
		<id>http://wiki.zcubes.com/index.php?title=Manuals/calci/AVERAGEMIDDLE&amp;diff=212728&amp;oldid=prev</id>
		<title>Joseph: Created page with &quot;&lt;div style=&quot;font-size:30px&quot;&gt;'''AVERAGEMIDDLE (Range,TopCount) '''&lt;/div&gt;&lt;br/&gt;  *&lt;math&gt;Range&lt;/math&gt;can be  any set of real numbers. *&lt;math&gt;TopCount&lt;/math&gt; can be number of numbe...&quot;</title>
		<link rel="alternate" type="text/html" href="http://wiki.zcubes.com/index.php?title=Manuals/calci/AVERAGEMIDDLE&amp;diff=212728&amp;oldid=prev"/>
		<updated>2020-02-04T20:25:41Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;&amp;#039;&amp;#039;&amp;#039;AVERAGEMIDDLE (Range,TopCount) &amp;#039;&amp;#039;&amp;#039;&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;  *&amp;lt;math&amp;gt;Range&amp;lt;/math&amp;gt;can be  any set of real numbers. *&amp;lt;math&amp;gt;TopCount&amp;lt;/math&amp;gt; can be number of numbe...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;div style=&amp;quot;font-size:30px&amp;quot;&amp;gt;'''AVERAGEMIDDLE (Range,TopCount) '''&amp;lt;/div&amp;gt;&amp;lt;br/&amp;gt;&lt;br /&gt;
&lt;br /&gt;
*&amp;lt;math&amp;gt;Range&amp;lt;/math&amp;gt;can be  any set of real numbers.&lt;br /&gt;
*&amp;lt;math&amp;gt;TopCount&amp;lt;/math&amp;gt; can be number of numbers from top. &lt;br /&gt;
**AVERAGE(), returns the average of its arguments.&lt;br /&gt;
&lt;br /&gt;
==Description==&lt;br /&gt;
&lt;br /&gt;
*This function gives the Average for given set of numbers from the top. &lt;br /&gt;
*Average means sum of all the given elements divided by Number of given elements.&lt;br /&gt;
*It is also called Arithmetic mean. &lt;br /&gt;
*i.e if &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt; numbers are given and each number is denoted by &amp;lt;math&amp;gt;a_i&amp;lt;/math&amp;gt;, where &amp;lt;math&amp;gt;i=1&amp;lt;/math&amp;gt; to &amp;lt;math&amp;gt;n&amp;lt;/math&amp;gt;, then &lt;br /&gt;
&amp;lt;math&amp;gt;A.M=\frac{1}{n}\sum_{i=1}^n a_i&amp;lt;/math&amp;gt; = &amp;lt;math&amp;gt;\frac{1}{n}(a_1+a_2+.....+a_n)&amp;lt;/math&amp;gt;. &lt;br /&gt;
*In this function,the parameters can either be numbers,arrays,references of cells or we can enter the logical values directly.&lt;br /&gt;
*Arithmetic mean is the most common measures of central tendency.&lt;br /&gt;
*Central tendency  is a single value that attempts to describe a set of data by identifying the central position within that set of data. &lt;br /&gt;
*The other common measures of central tendency are: Median,&amp;amp; Mode.  &lt;br /&gt;
*A.M is calculated by adding the given set of numbers and divided by the count of the given set of numbers. &lt;br /&gt;
 Average of 2,4,2,7,2,3 and 5 is 3.6&lt;br /&gt;
*Median: It is the middle number of a sorted list(Ascending order) of numbers.&lt;br /&gt;
 The median of 2,2,2,3,4,5,7 is 3&lt;br /&gt;
*Mode: It is the most frequently  repeated number in a given set of numbers. &lt;br /&gt;
 The mode of 2,2,2,3,4,5 and 7 is 2.&lt;br /&gt;
*This function will show the result as Error,&lt;br /&gt;
#when the values are error values or text that cannot change in to numbers.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Examples==&lt;br /&gt;
&lt;br /&gt;
*AVERAGEMIDDLE([18,23,87,45,56,17,26,67,19,20],4) = 36&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
==Related Videos==&lt;br /&gt;
{{#ev:youtube|9VZsMY15xeU|280|center|Average}}&lt;br /&gt;
&lt;br /&gt;
==See Also==&lt;br /&gt;
&lt;br /&gt;
*[[Manuals/calci/AVERAGE | AVERAGE  ]]&lt;br /&gt;
*[[Manuals/calci/AVERAGEBOTTOM  | AVERAGEBOTTOM ]]&lt;br /&gt;
*[[Manuals/calci/AVERAGETOP  | AVERAGETOP ]]&lt;br /&gt;
*[[Manuals/calci/AVERAGEA | AVERAGEA]]&lt;br /&gt;
&lt;br /&gt;
==References==&lt;br /&gt;
[http://en.wikipedia.org/wiki/Average| Average]&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
*[[Z_API_Functions | List of Main Z Functions]]&lt;br /&gt;
&lt;br /&gt;
*[[ Z3 |   Z3 home ]]&lt;/div&gt;</summary>
		<author><name>Joseph</name></author>
	</entry>
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