The sum of the squared deviations from the mean of 20 values is 1750. What is the standard deviation of these values?
A) 41.59
B) 87.50
C) 9.00
D) 9.35

Question

Quizplus · Accepted Answer

The standard deviation is the square root of the variance. The variance is the sum of the squared deviations from the mean divided by the number of values. Here, the sum of squared deviations is 1750 for 20 values, so the variance is 1750/20 = 87.5. The standard deviation is the square root of 87.5, which is approximately 9.35.

The Sum of the Squared Deviations from the Mean of 20