Chapter 1.2, Problem 45E

(a)

To determine

To find: the reason for splitting the teams.

Answer to Problem 45E

To get a clearer view.

Explanation of Solution

Given:

  

The stem has been split to get a better picture of the distribution. It will give a clear peak at 13 and a better view or symmetry to the distribution. If it is not split, then the stem and leaf plot contains only six rows, which makes it harder to observe the distribution of values.

(b)

To determine

To find: the percent and explain the reason for having high percent of residents

Answer to Problem 45E

16% of Utah's residents are 25 to 34 years of age.

Explanation of Solution

Using the above stem plot we can say that16% of Utah's residents are 25 to 34 years of age. The normal percentages are ranging from 11 to 15, whereas the percent 16 is far from the above range, so we can consider it as an outlier. The exceptional high percentage probably has to do with the Mormon belief in Utah.

(c)

To determine

To Describe:The shape, center, and spread of the distribution

Answer to Problem 45E

Shape: symmetric and unimodal

Center: 13%

Spread: the data spreads from 11 to 16%

Explanation of Solution

The distribution is almost symmetrical (slightly skewed towards right) and unimodal having single peak. The center of the distribution is at13%and the spread is mean > median > mode. The range of the distribution is between 11 to 16%i.e. $16-11=5.$