Chapter 1.1, Problem 16E

(a)

To determine

To display: the given data in a bar graph

Answer to Problem 16E

The height of the bar shows the category count or percentage.

The bar graph of the given data is below.

  

Explanation of Solution

Given:

  

Calculation:

Bar graph is used to display the distribution of a categorical variable more vividly. It represents each category as a bar. The height of the bar shows the category count or percentage. The bar graph of the given data is below:

  

By looking at the bar graph we observe that the percentage of people which attend a movie in the past 12 months is decreasing as the age is increasing. We inference that the interest in movies diminishes as the age increases.

Conclusion:

Therefore,older people seems to go the movies less than the younger people.

(b)

To determine

To explain: whether it is correct to make a pie chart of the given data.

Answer to Problem 16E

It would not be correct to make pie chart of these data.

Explanation of Solution

Calculation:

Pie chart is used to display the distribution of categorical variables as a “pie” whose slices are sized by the counts or percent for the categories. A pie chart must include all the categories that make up a whole which is not the case in the given data. Also each percentage in the table refers to a different age group, not to parts of a single whole thus it would not be correct to make pie chart of these data.

Conclusion:

Therefore, it would not be correct to make pie chart of these data.

(c)

To determine

To explain: why the given data do not answer for the percent of the total audience having18 to 24 years old are watching movies.

Answer to Problem 16E

It is not possible to calculate the total number of audience for movies is 18 to 24 years old.

Explanation of Solution

Calculation:

The data does not answer the question if a movie studio wants to know what percent of total audience for movies is 18 to 24 years old because each percentage in the table refers to a different age group, not to parts of a single whole. It is not possible to calculate the total number of audience for movie is 18 to 24 years as it gives the percentage pertaining to that age group not the percentage of total audience as a whole.

Conclusion:

Therefore, it is not possible to calculate the total number of audience for movies is 18 to 24 years old.