To solve this problem and visualize the data as a histogram, follow these steps:
1. Identify the bins (or ranges):
- The bins are the intervals for the points scored. Here, the bins are:
- 50-59
- 60-69
- 70-79
- 80-89
- 90-99
2. Determine the frequency for each bin:
- The frequency indicates how many times the points scored fell within each bin:
- 50-59: 5 games
- 60-69: 4 games
- 70-79: 8 games
- 80-89: 9 games
- 90-99: 4 games
3. Sketch the histogram:
- Draw the x-axis and y-axis on your paper.
- Label the x-axis with the points scored (the bins), such as 50-59, 60-69, etc.
- Label the y-axis with the frequency, ensuring you have a scale that accommodates the maximum frequency (which is 9 in this case).
4. Draw the bars for each bin:
- For the interval 50-59, draw a bar that reaches up to 5 on the y-axis.
- For the interval 60-69, draw a bar that reaches up to 4 on the y-axis.
- For the interval 70-79, draw a bar that reaches up to 8 on the y-axis.
- For the interval 80-89, draw a bar that reaches up to 9 on the y-axis.
- For the interval 90-99, draw a bar that reaches up to 4 on the y-axis.
Your histogram should look like this:
```
Frequency
10 |
9 | ■
8 | ■
7 |
6 |
5 | ■
4 | ■ ■
3 |
2 |
1 |
0 |_______________________________________
50-59 60-69 70-79 80-89 90-99
Points Scored
```
### Analysis
- The tallest bar appears in the 80-89 points range, indicating that the most frequent number of games (9 games) had scores in this range.
- The 70-79 range is the second-highest with 8 games.
- The least frequent categories are the 60-69 and 90-99 points ranges with 4 games each.
- The 50-59 range has 5 games.
Compare this visual histogram to any given answer choices to find the matching description.
