Frequency Histogram
1. **Problem Statement:** We are given a frequency distribution of hours of television watched per week by 340 students. The goal is to construct and label a frequency histogram based on the data.
2. **Understanding a Frequency Histogram:** A frequency histogram is a bar graph representing the frequency of data within certain intervals (called bins). The x-axis shows the intervals (hours of TV), and the y-axis shows the frequency (number of students).
3. **Data Provided:**
| Hours of TV | Number of Students |
|-------------|--------------------|
| 0 - 4 | 20 |
| 5 - 9 | 40 |
| 10 - 14 | 200 |
| 15 - 19 | 60 |
| 20 - 24 | 20 |
4. **Steps to Construct the Histogram:**
- Label the x-axis as "Hours of Television Per Week" with intervals 0-4, 5-9, 10-14, 15-19, and 20-24.
- Label the y-axis as "Frequency (Number of Students)" with a scale from 0 to 400 in increments of 20.
- Draw bars for each interval with heights corresponding to the number of students:
- 0-4 hours: height 20
- 5-9 hours: height 40
- 10-14 hours: height 200
- 15-19 hours: height 60
- 20-24 hours: height 20
5. **Explanation:** Each bar's height represents how many students fall into that TV watching range. The tallest bar is for 10-14 hours, indicating most students watch TV in that range.
6. **Summary:** The frequency histogram visually displays the distribution of TV watching hours among students, making it easy to see which intervals have higher or lower frequencies.