Question

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.

29; 32; 36; 40; 58; 67; 68; 69; 76; 82; 88; 95; 96; 96; 99; 106; 112; 127; 145; 150

Use a graphing calculator or computer to find the standard deviation and round to the nearest tenth.

Answer 1

For the give data

Mean ( X bar ) = 83.55.

Create the following table.

data	data-mean	(data - mean)2
29	-54.55	2975.7025
32	-51.55	2657.4025
36	-47.55	2261.0025
40	-43.55	1896.6025
58	-25.55	652.8025
67	-16.55	273.9025
68	-15.55	241.8025
69	-14.55	211.7025
76	-7.55	57.0025
82	-1.55	2.4025
88	4.45	19.8025
95	11.45	131.1025
96	12.45	155.0025
96	12.45	155.0025
99	15.45	238.7025
106	22.45	504.0025
112	28.45	809.4025
127	43.45	1887.9025
145	61.45	3776.1025
150	66.45	4415.6025