MATH SOLVE

3 months ago

Q:
# QUESTION 20 5.0 Calculate the standard deviation for the following set of numbers: 73, 76, 79, 82, 84, 84, 97

Accepted Solution

A:

Answer:7.16.Step-by-step explanation:The variance is ∑ (x - m)^2 / N and the standard deviation is the square root of this.m is the mean of the data . Here it is 82.14.Construct a table:x (x - m) (x - m)^273 -9.14 83.5476 -6.14 37.7079 -3.14 9.8682 -0.14 0.0284 1.86 3.46 84 1.86 3.4697 14.86 220.82 Total: 358.86Variance = 358.86 / 7 = 51.27Standard deviation = √51.27 = 7.16.