Question

4,3,7,6,2,8

Step 1 of 3: Calculate the value of the sample variance. Round your answer to one decimal place.

Step 2 of 3: Calculate the value of the sample standard deviation. Round your answer to one decimal place.

Step 3 of 3: Calculate the value of the range.

Thank you :)

Answer 1

Solution:

Given that,

4,3,7,6,2,8

a) The range = 7-2 5

The mean of sample is   

x/n =  (4+3+7+6+2+8 / 6)

= 5

The sample mean is 5

Sample standard deviation is s

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

=  1/5 (4 - 5 )2+ (3- 5 )2+ (7 - 5 )2+ (6- 5 )2 +( 2 - 5)2 +( 8 - 5)2

= 5.6

=2.3664

The sample standard deviation is 2.4

variance=

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

=  1/5 (4 - 5 )2+ (3- 5 )2+ (7 - 5 )2+ (6- 5 )2 +( 2 - 5)2 +( 8 - 5)2

= 5.6

variance 5.6