Question

Consider the following sample data:

33	38	25	46	31	35

c. Calculate the sample variance. (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

d. Calculate the sample standard deviation. (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

****Need this correct

Answer 1

Solution:

Given that,

n = 6

x	dx = x - A = x -36	dx2
38	2	4
38	2	4
25	-11	121
46	10	100
31	-5	25
35	-1	1
x = 213	( dx) = - 3	( dx )2 = 255

c ) Sample Varianve s² = ( dx² - ( ( dx)² / n ) n -1

= ( 255 - ( (- 3)² / 6 ) 5 )

= (255-1.5 /5)

= 253.5 / 5

= 50.70

Sample Variance = 50.70

Sample Standard Deviation s = ( dx² - ( ( dx)² / n ) n -1

= ( 255 - ( (- 3)² / 6 ) 5 )

= (255-1.5 /5)

= 253.5 / 5

= 50.7

Sample Sandard Deviation s = 7.12