Question

The following data are the distances between 20 retail stores and a large distribution center. The distances are in miles. 29; 30; 34; 40; 58; 67; 68; 69; 76; 84; 86; 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

Solution :

=> Answer :- standard deviation = 35.3

Explanation :-

Given that 29; 30; 34; 40; 58; 67; 68; 69; 76; 84; 86; 95; 96; 96; 99; 106; 112; 127; 145; 150

Step 3: Find the sum of numbers in the last column to get.

=> ∑(xi − X-bar)^2 = 23710.55

Step 4: Calculate σ using the above formula.

σ = ∑(xi − X-bar)^2/(n − 1)

= sqrt(23710.55/(20−1)

= 35.326

= 35.3 (rounded)