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Frequency Histogram

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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.