The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles.
29; 30; 37; 40; 58; 67; 68; 69; 76; 88; 89; 95; 96; 96; 99; 106; 112; 127; 145; 150
Find the standard deviation and round to the nearest tenth.
Solution :
n = 20
=
= (29+30+37+40+58+67+68+69+76+88+89+95+96+96+99+106+112+127+145+150)
= 1677 / 20
= 83.85
s = (x - )2 / n - 1
= (29 - 83.85)2 + ........+ (150 - 83.85)2 / (20 - 1)
= 23464.55 / 19
= 35.1
Standard deviation = 35.1
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