1. Consider the following scores on 7 students in a math quiz. 94 82 69 68 75 60 60 74 Compute:

a. mean, median, mode

b. range, sample variance and sample standard deviation

c. first quartile and third quartile

2. Suppose a consumer group asked 18 consumers to keep a yearly log of their shopping practices and that the following data represent the number of coupons used by each consumer over the yearly 3 period. Calculate the following data to construct a box-and-whisker plot. List the median, Q1, Q3, the endpoints for the inner fences, and the endpoints for the outer fences.

21 47 60 66 66 68 70 70 70 78 81 82 85 90 94 100 105 110

3. The operations manager of a plant that manufactures tires wants to compare the actual inner diameters of two grades of tires, each of which is expected to be 575 millimeters. A sample of five tires of each grade was selected, and the results representing the inner diameters of the tires, ranked from smallest to largest, are as follows:

Grade X: 568 570 575 578 584 Grade Y: 573 574 575 577 578

a. For each of the two grades of tires, compute the mean, median, and standard deviation.

b. Which grade of tire is providing better quality?