Question

Here are the shopping times (in minutes) for a sample of 6 shoppers at a particular grocery store. 35,34,26,27,33,31 Find the standard deviation of this sample of shopping times. Round your answer to two decimal places.

Answer 1

3.42

Explanation:

calculate the mean

(35+34+26+27+33+31)/6 = 186/6 = 31

35-31= 4 4² = 16

34-31= 3 3²= 9

26-31= -5 (-5)² = 25

27-31= -4 (-4)² = 16

33-31= 2 2² = 4

31-31= 0 0² = 0

Total: 16+9+25+16+4+0 = 70

standard deviation = √(70/6) = √11.66 = 3.4156 ≅ 3.42