Question

What is the standard deviation for the following data set: 60,94,45,78 ?

Please Type

Answer 1

Solution:

Given that,

60,94,45,78

The mean of sample is   

x/n =  ( 60+94+45+78 / 4)

=69.25

The sample mean is 69.25

Sample standard deviation is s

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

=  1/3 (60- 69.25 )2+ (94- 69.25 )2+ (45 - 69.25 )2+ (78- 69.25 )2

= 454.25

=21.31314

The sample standard deviation is 21.31