Question

The top speeds for a sample of five new automobiles are listed below. Calculate the standard deviation of the speeds. Round to four decimal places. 170, 160, 130, 165, 125

Answer 1

Answer:

20.92

Step-by-step explanation:

Given the data:

X : 170, 160, 130, 165, 125

Standard deviation (s) :

s = √Σ((X - m)² / n)

m = mean

n = sample size

Mean , m = Σx/n

m = (170 + 160 + 130 + 165 + 125) / 5

m = 750/5

m = 150

((X - m)² / n - 1)

[(170-150)^2 + (160-150)^2 + (130-150)^2 + (165-150)^2 + (125-150)^2] / (5-1)

= 1750 / 4

= 437.5

s = √437.5

s = 20.9165

s = 20.92