Question

3.2 question 6

Find the sample variance and the standard deviation for the following sample. Round the answers to at least two decimal places as needed. 15 31 23 19 14 37 The sample variance is ___?

The sample standard deviation is___?

Answer 1

Solution:

Given that,

15 ,31 ,23 ,19 ,14, 37

The mean of sample is   

x/n =  (15 +31 +23 +19 +14+ 37 / 6)

The sample mean is 23.17

Sample standard deviation is s

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

=  1/4 (15 -23.17 )2+ (31 - 23.17 )2+ (23 - 23.17)2+ (19- 23.17 )2 +( 14- 23.17 )2+( 37 - 23.17 )2

= 84.166666666667

= 9.17

The sample standard deviation is 9.17

sample variance= (9.17 )2

=84.09