Question

Consider the following population data:

32	46	12	14	18

a. Calculate the range.

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

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

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

Answer 1

S.No		X	|X-x̄|	(X-x̄)2
1		32.000	7.600	57.76000
2		46.000	21.600	466.56000
3		12.000	12.400	153.76000
4		14.000	10.400	108.16000
5		18.000	6.400	40.96000
Σx		122	Σ(X-x̄)2=	827.2000
x̄=Σx/n		24.4000
			σ2=Σ(x-x̄)2/n=	165.4400
			σ=√σ2    =	12.8623
				78.7655

a)

range =max-min =46-12 =34

b)

MAD =(7.6+21.6+12.4+10.4+6.4)/5 = 11.68

c)

population variance =165.44

d)

population standard deviation =12.86