Question

The numbers of words defined on randomly selected pages from a dictionary are shown below. Find the​ range and standard deviation for the set of numbers 58 62 35 50 49 61 46 78 67 33

Answer 1

The set of numbers 58 62 35 50 49 61 46 78 67 33.

Sample size = n = 10

We have to find the range and standard deviation.

Range = Maximum - Minimum = 78 - 33 = 45

Standard deviation is

x	x-xbar	(x-xbar)^2
58	4.1	16.81
62	8.1	65.61
35	-18.9	357.21
50	-3.9	15.21
49	-4.9	24.01
61	7.1	50.41
46	-7.9	62.41
78	24.1	580.81
67	13.1	171.61
33	-20.9	436.81
	Total	1780.9

So Range = 45 and standard deviation = s = 14.0669