Question

Find the variance for the given sample data. Round your answer to one more decimal place than the original data. 3) The weights (in ounces) of 10 cookies are shown. 1.4 0.99 1.37 0.58 0.68 0.57 1.1 0.96 1.2 1.27

Answer 1

Solution:

Given that,

1.4 ,0.99, 1.37 ,0.58, 0.68 ,0.57 ,1.1 ,0.96, 1.2 ,1.27

a) The range =9 -2 = 7

b )The mean of sample is   

x/n =  (1.4 +0.99+ 1.37 +0.58 +0.68+ 0.57+ 1.1+ 0.96+ 1.2 +1.27 / 10)

= 1.012

The sample mean is 1.012

Sample standard deviation is s

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

=  1/4 (1.4 - 1.012 )2+ (0.99- 1.012 )2+ (1.37 - 1.012 )2+ (0.58- 1.012 )2 +( 0.68 - 1.012 )2+(0.57 - 1.012 )2+ (1.1 - 1.012 )2+ (0.96 - 1.012 )2+ (1.2- 1.012 )2 +( 1.27 - 1.012 )2

= 0.098195555555556

=0.31336170084354

The sample standard deviation is 0.3134

variance=( s )2

=( 0.31336170084354 )2

=0.098195555555556

variance=0.10