Question

Consider the following population data: 43 50 20 17 29

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

a. For the given data

The range is the difference between the highest and lowest values in the data set.

Ordering the data from least to greatest, we get:

17   20   29   43   50   

The lowest value is 17.

The highest value is 50.

The range = 50 - 17 = 33.

b. To find MAD we need to find mean first

	xi	xi-Mean	lxi-Meanl
	43	11.2	11.2
	50	18.2	18.2
	20	-11.8	11.8
	17	-14.8	14.8
	29	-2.8	2.8
	31.8		58.8
So MAD=11.76
c.
d. Now population standard deviation is