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Rifles, Reloading, Optics, Equipment
Reloading
? on ES / SD
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<blockquote data-quote=".280Rem" data-source="post: 210604" data-attributes="member: 11140"><p>Ok, but like offered, it's worthless information with such small samples. </p><p> </p><p>A simple example</p><p>Suppose we wished to find the standard deviation of the set of the numbers 4 and 8.</p><p><strong>Step 1:</strong> find the arithmetic mean (or average) of 4 and 8,</p><p>(4 + 8) / 2 = 6. <strong>Step 2:</strong> find the deviation of each number from the mean,</p><p>4 − 6 = − 2 8 − 6 = 2. <strong>Step 3:</strong> square each of the deviations (amplifying larger deviations and making negative values positive),</p><p>( − 2)2 = 4</p><p>22 = 4. <strong>Step 4:</strong> sum the obtained squares (as a first step to obtaining an average),</p><p>4 + 4 = 8. <strong>Step 5:</strong> divide the sum by the number of values, which here is 2 (giving an average),</p><p>8 / 2 = 4. <strong>Step 6:</strong> take the non-negative square root of the quotient (converting squared units back to regular units),</p><p><img src="http://upload.wikimedia.org/math/8/2/2/822211f970bcb7379117b2ffc151320c.png" alt="" class="fr-fic fr-dii fr-draggable " style="" /> So, the standard deviation of the set is 2.</p></blockquote><p></p>
[QUOTE=".280Rem, post: 210604, member: 11140"] Ok, but like offered, it's worthless information with such small samples. A simple example Suppose we wished to find the standard deviation of the set of the numbers 4 and 8. [B]Step 1:[/B] find the arithmetic mean (or average) of 4 and 8, (4 + 8) / 2 = 6. [B]Step 2:[/B] find the deviation of each number from the mean, 4 − 6 = − 2 8 − 6 = 2. [B]Step 3:[/B] square each of the deviations (amplifying larger deviations and making negative values positive), ( − 2)2 = 4 22 = 4. [B]Step 4:[/B] sum the obtained squares (as a first step to obtaining an average), 4 + 4 = 8. [B]Step 5:[/B] divide the sum by the number of values, which here is 2 (giving an average), 8 / 2 = 4. [B]Step 6:[/B] take the non-negative square root of the quotient (converting squared units back to regular units), [IMG]http://upload.wikimedia.org/math/8/2/2/822211f970bcb7379117b2ffc151320c.png[/IMG] So, the standard deviation of the set is 2. [/QUOTE]
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