Question

find the mean and standard deviation for the following data: 16,17, 18, 21,24. Show full work

Answer 1

Solution:

Given that,

16,17, 18, 21,24

The mean of sample is   

x/n =  (16+17+ 18+ 21+24 / 5)

= 19.2

The sample mean is 19.2

Sample standard deviation is s

s = 1/(n-1)(x - )2

=  1/4 (16- 19.2 )2+ (17- 19.2 )2+ (18 - 19.2 )2+ (21- 19.2 )2 +( 24 -19.2 )2

= 10.7

= 3.2711

The sample standard deviation is 3.2711