Chapter 4, Problem 32E

(a)

To determine

To construct: the stem plot on the basis of given data.

Explanation of Solution

Given:

79, 80, 80, 80, 74, 80, 80, 79, 64, 78, 73, 78, 74, 45, 81, 48, 80, 82, 82, 70

Graph:

Stem plot

Stem unit = 10

Leaf unit = 1

  

By seeing the distribution, it is observed that the shape is skewed to the left where there are more numbers on the right than on the left.

(b)

To determine

To Explain: the shape of the distribution.

Answer to Problem 32E

Skewed to the left

Explanation of Solution

The shape of the distribution is skewed to the left although there are more numbers on the right than on the left (i.e., there is a tail on the left).

(c)

To determine

To Explain: the centre and spread of the given distribution.

Explanation of Solution

The centre is at 79 if there are using the median as the measure of centre (here, the median is average of the 10^th and 11^th numbers. Which are both 79). The spread is 40 if there are using the range as the measure of spread (here the range is $82-45=37$ ).

(d)

To determine

To find: the unusual feature.

Explanation of Solution

All but three number of season are less than 70. Only one number is in the 60s and no numbers are in the 50s. The numbers 45 and 48 are very likely to be outliers. He might have injuries in these seasons that caused him to play fewer games than usual.