A manager surveyed a random sample of people exiting a movie theater about their use of streaming movies.
| Age | Relative Frequency |
|---|---|
| 10-19 | 85% |
| 19-25 | 92% |
| 26-49 | 84% |
| 50 and older | 64% |
Complete the statements based on the information. A [ ] Is not an appropriate display of the data because these data [ ]
Answer (2)
The data consists of age groups and their corresponding relative frequencies.
Bar charts and pie charts are suitable for displaying this type of categorical data.
Histograms and scatter plots are used for numerical data, making them inappropriate for this data.
Therefore, a histogram or a scatter plot is not an appropriate display because the data are categorical.
Explanation
Understand the problem and provided data We are given a table that shows the relative frequency of people in different age groups who use streaming movies. The age groups are 10-19, 19-25, 26-49, and 50 and older, with corresponding relative frequencies of 85%, 92%, 84%, and 64%. We need to determine which type of display is not appropriate for the given data.
Evaluate different data displays Let's consider different types of data displays and their suitability for this data.
Bar chart: A bar chart is suitable for displaying categorical data, where each bar represents a category (age group) and the height of the bar represents the frequency or relative frequency. This would be appropriate for the given data.
Pie chart: A pie chart is also suitable for displaying categorical data, where each slice represents a category and the size of the slice represents the proportion or percentage of the whole. This would also be appropriate for the given data.
Histogram: A histogram is used to display the distribution of numerical data. It groups the data into bins and shows the frequency of data points within each bin. Since our data consists of age groups (categorical data) and not continuous numerical data, a histogram is not appropriate.
Scatter plot: A scatter plot is used to explore the relationship between two numerical variables. It plots data points on a coordinate plane, where each point represents a pair of values for the two variables. Since our data does not involve two numerical variables, a scatter plot is not appropriate.
Identify inappropriate display type Based on the analysis, a histogram or a scatter plot would not be appropriate for displaying the given data because the data consists of categorical data (age groups) and associated relative frequencies, not continuous numerical data.
Final Answer Therefore, a histogram or a scatter plot is not an appropriate display of the data because these data are categorical.
Examples
Understanding the distribution of streaming movie usage across different age groups can help movie theaters tailor their marketing strategies. For example, if a large percentage of younger people are streaming movies, the theater might focus on attracting older age groups with special promotions or events. This type of data analysis is also useful for streaming services to understand their user demographics and optimize their content offerings.
A histogram or scatter plot is not appropriate for displaying the data because it consists of categorical age groups rather than continuous numerical data. A bar chart or pie chart would effectively represent this information. Therefore, we can conclude that the histogram and scatter plot are not suitable displays.
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