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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 value XX X XXX XXX highest XX X, so the XXXXX is 9-2 = X. Range is best used in XXXXXXXXXXX XXXXXXXX XXXX XXX data XXXX XXX XXXX XXXXX XXXXXXXX. Further, range an also be used in XXXXX XXXX to estimate the XXXXXXXX XXXXXXXXX. XXX XXXXX XX also XXXX in box and whiskers XXXX. XX XXX XXX of the XXXXXXXX XX XXX XXXXX, XXX largest and XXXXX XXXXXX XXX XXXXXXX.The XXXXX measures XXX XXXXX XXXXXX XX whiskers and XXX. </span> </p> <p> </p> <p><span class="XXXXXXXXXXXXX">A XXXXXXXX XXXXX how XXX the distance between XXX data. XX is XXX average XX the XXXXXXX differences from XXX mean. It gives an idea of XXX XXXXXXXX within XXX data in a XXX. A variance XXXXXXXX the XXXXXXXX within XXX XXXX a XXXX XX values. It gives how XXXX XXXX number in XXX XXX is XXXX XXX XXXX. It is found XX XXXXXX differences XXXXXXX XXXX XXXXXX in XXX XXX XXX the XXXX, squaring XXX XXXXXXXXXX, XXX XXXXXXXX the<span XXXXX="hiddenSpellError" XXX="the ">XXX</span>of the squares XX XXX number of values in XXX XXXX. XX is<span XXXXX="hiddenGrammarError" pre="is " <XXX="" "XXXXXXXXXXX"="" XX<="" span="">the XXXXXXX deviation XX a random XXXXXXXX from XXX mean. </span></span></p><p>The XXXXXXXX is XXXXXXXX XXXXXX XXX average XX XXXXXXX differences from the mean. XXXXXXXX XX XXXX XX XXXXXXX XXX XXXXXXXXXXX XXXX XXXXXXX or XXXX XXX XXXXXXXXXX XX a XXXXXXX XX risk, XXX XXXXXXXX can help XXXX the risk that an XXXXXXXX may XXXX XX XXXX XXXXXX a XXXXXXXX. In simple XXXXX, XXXX variance XXXXX XXXX all numbers within a XXX are XXX XXXX. The XXXXXXXXX that are non XXXX XXX XXXXXXXX XXXXXXX. X XXXXX XXXXXXXX XXXXX XXXX the numbers in a XXX are XXX from XXX mean and XXXX other, a small XXXXXXXX XXXXXXXXX the opposite. XXXX XXXXXXX finds how XXXXXXX XXXXXX XX each other in a list.</p><p></p> <p> </p> <p><span class="XXXXXXXXXXXXX" <the="" XXXXXXXX="" deviation="" shows="" how="" much="" XXXXXX="" in="" a="" list="" differ="" from="" the="" mean="" XX="" XXXXXX(martinez,="" m.="" n.,="" &="" bartholomew,="" j.="" XXXX).="" it="" is="" simply="" square="" XXXX="" XXXXXXXX.="" XXXXX="" by="" XXXXXXXXXXX="" variation="" XXXXXXX="" XXXX="" XXXX="" XXXXX="" on="" mean.="" if="" XXXXXX="" are="" XXXXXXX="" mean,="" there="" a<="" span=""></span></p><p>The standard deviation XXXXX how XXXX XXXXXX in a XXXX XXXXXX XXXX XXX XXXX XX XXX XXXX of XXXXXX(Martinez, M. N., & Bartholomew, X. J. XXXX). It is simply XXX XXXXXX root XX XXXXXXXX. It is XXXXX XX XXXXXXXXXXX XXX variation between XXXX XXXX XXXXX XXXXXXXX to the mean. If the XXXX XXXXXX XXX further XXXX XXX mean, XXXXX XX XXXXXX deviation XXXXXX the list XX XXXXXX.</p> A low value XX XXX XXXXXXXX deviation XXXXX that the data XXXXXX are XXXXX to the mean. XXX XXXX XX XXXX XXXXXX the XXXXXXXX XXXXX. A XXXX XXXXXXXX XXXXXXXXX XXXXX XXXX the XXXX XXXXXX XXX<span class="XXXXXXXXXXXXXXXXXX" pre="XXX " <the="" distance="" XXXX<="" span="">the XXXX out XXXX a range XX values. XXXXXXXX XXXXXXXXX XX a XXXXXXX XX XXXXXXXXXX XX XXXXX if XXX XXXX XX XXXXXXXXXX, XXX XX not XXXXXXXXXXX XXXX. XXXX, XXX standard deviation XX XXXXX XXXX XXX XXXX is XXX skewed XXX has XXXXXXXX.(XXXX</span>, X., XXX, C., XXXXX, X., XXXXXXX, X., &<span class="XXXXXXXXXXXXXXXX" pre="">Licata</span>, X. 2013). <p></p> <p> </p> <p>References: </p> <p><span class="XXXXXXXXXXXXX"><span class="hiddenSpellError" XXX="">XXXX</span>, X., XXX, X., XXXXX, O., XXXXXXX, P., &<span XXXXX="hiddenSpellError" XXX="">Licata</span>, X. (XXXX). Detecting outliers: XX XXX use SD XXXXXX XXX mean, use absolute D XXXXXX XXX XXXXXX. XXXXXXX of XXXXXXXXXXXX Social Psychology, XX(4), XXX-766.</span> </p> <p><span XXXXX="XXXXXXXXXXXXX">Martinez, X. N., & Bartholomew, X. X. (XXXX). What XXXX XX “Mean”? X Review XX XXXXXXXXXXXX and Calculating Different XXXXX of XXXXX XXX Standard XXXXXXXXXX.<span class="XXXXXXXXXXXXXXXX" XXX="">Pharmaceutics</span>, X(X), XX.</span> </p>">
