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For 77 83 69 72 85 90 95 75 55 45: σ=15.4071

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Q: What is the standard deviation of 77 83 69 72 85 90 95 75 55 45?
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What is the standard deviation of this set of numbers 45 87 61 73 55 78 69 80?

For this set of numbers, 45 87 61 73 55 78 69 80: σ=14.0204


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Step 1: Find the mean Step 2: Find the deviation from the mean Step 3: Take the absolute value of the deviation Step 4: Find the mean of the absolute deviation. x----x-mean 63 63-63 0 69 69-63 6 62 62-63 -1 57 57-63 -6 64 64-63 1 mean = (63+69+62+57+64)/5 = 63 Taking the absolute deviations, we have 0,6,1,6,1 Averaging these deviations : (0+6+1+6+1)/5 =14/5 = 2.8 Mean absolute deviation = 2.8