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Students will discuss three measures of dispersi
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A range is the difference between the lowest and the highest values<span class="hiddenSpellError" pre="">in</span>a list of values. The range is the difference between the<span class="hiddenSuggestion" pre="the ">maximum</span>and<span class="hiddenSuggestion" pre="and ">minimum</span>observations. It shows how diversely distances within the data are. This gives us an estimate of the distance within the data. The range<span class="hiddenGrammarError" pre="range ">is calculated</span>by subtracting the least value from the greatest value in the list of values. This shows how varied the data is. For example, in (7, 5, 2, 6, 9,4), the lowest XXXXX is X XXX XXX highest XX X, so XXX XXXXX is 9-2 = X. XXXXX is XXXX XXXX in statistical analysis when XXX data does not XXXX XXXXX XXXXXXXX. Further, range an XXXX XX used in XXXXX rule XX estimate XXX XXXXXXXX deviation. The range is also used in box XXX whiskers XXXX. XX the end of XXX whiskers XX XXX XXXXX, XXX largest XXX least XXXXXX are graphed.XXX XXXXX measures the total length XX whiskers XXX box. </span> </p> <p> </p> <p><span class="XXXXXXXXXXXXX">X variance shows how far XXX XXXXXXXX XXXXXXX XXX data. XX is the XXXXXXX of XXX XXXXXXX differences from the mean. It gives an XXXX of the distance within the XXXX in a set. X XXXXXXXX measures the XXXXXXXX within the data a XXXX of XXXXXX. It gives how fare XXXX number in the XXX XX from the mean. It is found XX XXXXXX XXXXXXXXXXX between XXXX number in the XXX and XXX mean, XXXXXXXX the XXXXXXXXXX, XXX dividing XXX<span class="XXXXXXXXXXXXXXXX" pre="the ">XXX</span>XX the XXXXXXX XX XXX number XX values in XXX list. XX is<span class="XXXXXXXXXXXXXXXXXX" XXX="is " <the="" "XXXXXXXXXXX"="" XX<="" span="">the squared XXXXXXXXX of a random XXXXXXXX from XXX mean. </span></span></p><p>XXX variance XX commonly called the average of XXXXXXX differences from the mean. Variance is used to XXXXXXX XXX variability XXXX average or XXXX XXX XXXXXXXXXX XX a XXXXXXX of risk, XXX XXXXXXXX XXX help find XXX XXXX that an investor may take XX when XXXXXX a security. In XXXXXX terms, XXXX variance XXXXX that XXX XXXXXXX XXXXXX a set XXX XXX same. The XXXXXXXXX that are XXX XXXX are XXXXXXXX numbers. X XXXXX XXXXXXXX shows XXXX the XXXXXXX in a set are far XXXX XXX XXXX XXX each XXXXX, a XXXXX XXXXXXXX indicates the XXXXXXXX. XXXX XXXXXXX XXXXX how numbers relate XX each XXXXX in a XXXX.</p><p></p> <p> </p> <p><span XXXXX="XXXXXXXXXXXXX" <the="" XXXXXXXX="" XXXXXXXXX="" XXXXX="" how="" much="" XXXXXX="" in="" a="" list="" XXXXXX="" from="" the="" mean="" XX="" XXXXXX(martinez,="" m.="" n.,="" &="" bartholomew,="" j.="" 2017).="" it="" XX="" XXXXXX="" XXXXXX="" XXXX="" XXXXXXXX.="" XXXXX="" XX="" determining="" variation="" between="" each="" data="" point="" on="" mean.="" if="" points="" are="" further="" XXXX,="" there="" a<="" span=""></span></p><p>The XXXXXXXX deviation shows how XXXX XXXXXX in a list XXXXXX XXXX the mean XX XXX XXXX XX XXXXXX(Martinez, X. N., & Bartholomew, M. J. 2017). XX is XXXXXX XXX square root XX variance. It is XXXXX XX XXXXXXXXXXX XXX variation XXXXXXX XXXX XXXX point XXXXXXXX to the mean. If the XXXX points XXX further from the XXXX, there XX XXXXXX XXXXXXXXX within the XXXX XX values.</p> A low XXXXX of the standard deviation XXXXX XXXX XXX XXXX points are XXXXX to the mean. The XXXX XX also called the XXXXXXXX value. X XXXX standard XXXXXXXXX means that XXX XXXX XXXXXX XXX<span XXXXX="hiddenGrammarError" XXX="are " <the="" XXXXXXXX="" from<="" span="">the data out over a XXXXX of XXXXXX. Standard XXXXXXXXX as a XXXXXXX XX XXXXXXXXXX is XXXXX XX XXX XXXX is continuous, XXX is not XXXXXXXXXXX data. Also, XXX standard deviation XX right when the data XX not XXXXXX nor XXX outliers.(XXXX</span>, X., Ley, X., Klein, O., XXXXXXX, X., &<span XXXXX="XXXXXXXXXXXXXXXX" XXX="">XXXXXX</span>, X. XXXX). <p></p> <p> </p> <p>References: </p> <p><span class="mceItemHidden"><span class="hiddenSpellError" XXX="">Leys</span>, X., Ley, C., Klein, O., Bernard, P., &<span XXXXX="hiddenSpellError" pre="">Licata</span>, L. (XXXX). Detecting outliers: Do not use XX XXXXXX the XXXX, use XXXXXXXX X XXXXXX the median. XXXXXXX of Experimental XXXXXX Psychology, XX(X), XXX-766.</span> </p> <p><span XXXXX="XXXXXXXXXXXXX">XXXXXXXX, M. N., & XXXXXXXXXXX, X. J. (XXXX). What XXXX It “Mean”? A XXXXXX of XXXXXXXXXXXX and Calculating XXXXXXXXX XXXXX XX XXXXX and Standard XXXXXXXXXX.<span XXXXX="hiddenSpellError" XXX="">Pharmaceutics</span>, X(2), XX.</span> </p>">
