Question

Calculate the mean and sample standard deviation of the data shown. Round to two decimal places.

X
11.4
13.3
18.6
19.9
22.5
mean:___
Sample standard deviation:___

Answer 1

mean = 17.14

sample standard deviation = 4.64

Explanation:

mean, ∪ = (11.4 + 13.3 + 18.6 + 19.9 + 22.5) / 5

= 85.7/5 = 17.14

sample standard deviation, s = √∑(x - ∪)² / n-1

x x-∪ (x-∪)²

11.4 -5.74 32.95

13.3 -3.84 14.75

18.6 1.46 2.13

19.9 2.76 7.62

22.5 5.36 28.73

sample standard deviation, s = √∑(x-∪)² / n-1

= √86.18/4 = √25.545 = 4.64