Please show work alculate the sample standard deviation for this data set: 11, 2

Question

Please show work

alculate the sample standard deviation for this data set: 11, 28. 36. The formula for the sample standard deviation is shown, here n represents the sample size, x represents cach value in the data set, and i represents the sample mean. Calculate the sample standard deviation for this data sct: 11,28, 36. The formula for the sample stan Step I. Calculate the sample mean. Step 2. Calculate the deviations and the squares of the deviations. [-] deviation of I- deviation of 28 = iation of 36 dev square of deviation of square of deviation of 28- square of deviation of 36 Step 3. Calculate the sample variance and the sample standard deviation. Provide your sample standard deviation answer recise to one decimal place nee and the sample standard deviation. Provide your sample standard deviation answer

Explanation / Answer

Step 1: Sample mean =(11+28+36)/3 = 25

Step 2:

Deviation of 11 = 11 - 25 = -14
Deviation of 28 = 28 - 25 = 3
Deviation of 36 = 36 - 25 = 11

Square of deviation of 11 = -142 = 196
Square of deviation of 28 = 32 = 9
Square of deviation of 36 = 112 = 121

Step 3:

Sample Variance s2 = (196+9+121) / (3-1) = 163
Sample SD s = Sqrt(163) = 12.76715

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