Question

The following data represents the amount of time (in minutes) a random sample of eight students enrolled in Sullivan's Intermediate Algebra course spent on the homework from Section 4.5, Factoring Polynomials.

48, 88, 57, 109, 111, 93, 71, 63

(a) determine the standard deviation of the homework data

(b) By hand, determine and interpret the interquartile range of the homework data

Answer 1

Solution:

(a) the standard deviation = 23.7787

(b) the interquartile range = 41

Explanation

The interquartile range is the difference between the third and first quartiles.

The third quartile is 101.

The first quartile is 60.

The interquartile range = 101 - 60 = 41.