What is the standard deviation of the following data set rounded to the nearest tenth?

60, 40, 35, 45, 39

6.7

8.8

8.7

6.6

Standard deviation is the square root of the variance. The variance is the mean subtracted from each original number, then squared and divided by the number of numbers in the sequence you started with.

Mean: 60+40+35+45+39 = 219/5 = 43.8

Variance:

Part 1: 60-43.8=16.2, 40-43.8=-3.8, 35-43.8=-8.8, 45-43.8=1.2, 39-43.8=-4.8

Part 2: 16.2 (exponent 2) + - 3.8 (exponent 2) + - 8.8 (exponent 2) + 1.2 (exponent 2) + - 4.8 (exponent 2) divided by 5 = 29.792

Deviation: square root of 29.792 = 5.46 (rounded to the hundreth)