1.
Identify the data and intervals: The data given is: 4, 1, 13, 16, 28, 25, 31, 33, 34, 32, 49, 41, 43, 49, 49. The intervals are 0-10, 11-20, 21-30, 31-40, 41-50.
2.
Count the frequency for each interval:
- 0-10: 4, 1 → 2 values
- 11-20: 13, 16 → 2 values
- 21-30: 28, 25 → 2 values
- 31-40: 31, 33, 34, 32 → 4 values
- 41-50: 49, 41, 43, 49, 49 → 5 values
3.
Fill in the frequency distribution table:
- 0-10: 2
- 11-20: 2
- 21-30: 2
- 31-40: 4
- 41-50: 5
4.
Draw the histogram:
- On the x-axis, label the intervals: 0-10, 11-20, 21-30, 31-40, 41-50.
- On the y-axis, label the frequency from 0 to 6.
- Draw bars for each interval with heights corresponding to their frequencies:
- 0-10: height 2
- 11-20: height 2
- 21-30: height 2
- 31-40: height 4
- 41-50: height 5
The histogram will have bars of the respective heights for each interval, showing the frequency distribution.
Parent Tip: Review the logic above to help your child master the concept of free histogram worksheet.