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The Range
Ammo & Reloading
Can someone figure SD of 5 shots?
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<blockquote data-quote="adamsredlines" data-source="post: 3309396" data-attributes="member: 40561"><p>Standard Deviation, σ: <strong>11.939849245279</strong></p><p></p><p>Count, N: 5</p><p>Sum, Σx: 13514</p><p>Mean, μ: 2702.8</p><p>Variance, σ2: 142.56</p><p></p><p><strong>Steps</strong></p><p></p><p><img src="https://d26tpo4cm8sb6k.cloudfront.net/img/standard-dev.gif" alt="" class="fr-fic fr-dii fr-draggable " style="" /></p><p></p><p>σ2 = </p><p>Σ(xi - μ)2</p><p>N</p><p>= </p><p>(2699 - 2702.8)2 + ... + (2725 - 2702.8)2</p><p>5</p><p>= </p><p>712.8</p><p>5</p><p>= 142.56</p><p>σ = √142.56</p><p>= 11.939849245279</p><p></p><p><strong>Margin of Error (Confidence Interval)</strong></p><p></p><p>The sampling mean most likely follows a normal distribution. In this case, the standard error of the mean (SEM) can be calculated using the following equation:</p><p></p><p>σx̄ = </p><p>σ</p><p>√N</p><p>= 5.3396629107089</p><p>Based on the SEM, the following are the margins of error (or confidence intervals) at different confidence levels. Depending on the field of study, a confidence level of 95% (or statistical significance of 5%) is typically used for data representation.</p></blockquote><p></p>
[QUOTE="adamsredlines, post: 3309396, member: 40561"] Standard Deviation, σ: [B]11.939849245279[/B] Count, N: 5 Sum, Σx: 13514 Mean, μ: 2702.8 Variance, σ2: 142.56 [B]Steps[/B] [IMG]https://d26tpo4cm8sb6k.cloudfront.net/img/standard-dev.gif[/IMG] σ2 = Σ(xi - μ)2 N = (2699 - 2702.8)2 + ... + (2725 - 2702.8)2 5 = 712.8 5 = 142.56 σ = √142.56 = 11.939849245279 [B]Margin of Error (Confidence Interval)[/B] The sampling mean most likely follows a normal distribution. In this case, the standard error of the mean (SEM) can be calculated using the following equation: σx̄ = σ √N = 5.3396629107089 Based on the SEM, the following are the margins of error (or confidence intervals) at different confidence levels. Depending on the field of study, a confidence level of 95% (or statistical significance of 5%) is typically used for data representation. [/QUOTE]
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