Find the standard deviation of 12, 6, 7, 3, 15, 10, 18 and 5.

Question

Answer 1

Find the standard deviation of 12, 6, 7, 3, 15, 10, 18 and 5.

Explanation

There are 8 values with sum 76, so the mean is 76/8 = 9.5.

Squared deviations from 9.5: 6.25, 12.25, 6.25, 42.25, 30.25, 0.25, 72.25, 20.25. Their sum is 190.

Variance = 190/8 = 23.75. Standard deviation = √23.75 ≈ 4.87.

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