Question

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.

Answer 1

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