Problem

Given the data set {2, 4, 6, 8, 10}, calculate the variance.

Answer

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Answer

Step 3: Calculate the mean of these squared differences. \(\frac{16 + 4 + 0 + 4 + 16}{5} = 8\)

Steps

Step 1 ：Step 1: Calculate the mean (average) of the data set. The mean is given by the sum of all numbers in the set divided by the number of elements in the set. \(\frac{2 + 4 + 6 + 8 + 10}{5} = 6\)

Step 2 ：Step 2: Subtract the mean from each data point and square the result. \((2-6)^2 = 16, (4-6)^2 = 4, (6-6)^2 = 0, (8-6)^2 = 4, (10-6)^2 = 16\)

Step 3 ：Step 3: Calculate the mean of these squared differences. \(\frac{16 + 4 + 0 + 4 + 16}{5} = 8\)

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