Alright, let's draw a histogram for the given intervals and data points.
First, let's break down our data into the specified intervals:
- Interval 4-6: 5, 5, 5, 4, 6, 6, 6, 5 (8 values)
- Interval 7-9: 8, 9, 9, 7, 7, 8 (6 values)
- Interval 10-12: 10, 12 (2 values)
- Interval 13-15: 14, 14, 15, 13 (4 values)
Now, we will represent the frequency of each interval using a histogram. Here is a step-by-step representation of how to create the histogram:
1. Draw the x-axis and y-axis.
2. Label the x-axis with the intervals 4-6, 7-9, 10-12, and 13-15.
3. Label the y-axis with the counts/frequencies.
Let's draw it with ASCII characters here for visual representation:
```
14|
12|
10| ++++
8| ++++
6| ++++
4| +++++++++
2| +++++++++
0|--------------------
4-6 7-9 10-12 13-15
```
Explanation:
- For interval 4-6, there are 8 data points. Thus, the bar reaches up to 8 on the y-axis.
- For interval 7-9, there are 6 data points. Thus, the bar reaches up to 6 on the y-axis.
- For interval 10-12, there are 2 data points. Thus, the bar reaches up to 2 on the y-axis.
- For interval 13-15, there are 4 data points. Thus, the bar reaches up to 4 on the y-axis.
This visual representation helps you quickly see the distribution of data within the specified intervals.
