Question

Consider the following sample data:

35

40

20

42

24

40

a. Calculate the range.

Range

b. Calculate MAD. (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

MAD

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

Sample Variance

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

Sample Standard Deviation

Answer 1

a)

Range = Maximum value - Minimum value

= 42 - 20

= 22

b)

= X / n

= 201 / 6

= 33.5

MAD = | xi - | / n

= [ (35 - 33.5 ) + (40 - 33.5) + (20 - 33.5) + ( 42 - 33.5) + (24 - 33.5) + 40 - 33.5) ] / 6

= 7.67

c)

Sample variance = X² - n² / n-1

= (7165 - 6 * 33.5² ) / 5

= 86.30

d)

Sample standard deviation = Sqrt( Variance )

= sqrt( 86.30)

= 9.29