Temperature Frequency
1. Stating the problem: We are given daily high temperatures for 20 days and asked to construct a frequency distribution with class intervals of size 10.
2. Finding the range of the data: The minimum temperature is 73 and the maximum is 95.
3. Creating class intervals of size 10 that cover the data range:
- 70-79
- 80-89
- 90-99
4. Tallying frequencies in each interval:
- 70-79: 73, 76, 77, 78, 79 → 5 values
- 80-89: 80, 81, 82, 83, 84, 85, 86, 87, 88, 89 → 10 values
- 90-99: 90, 91, 92, 94, 95 → 5 values
5. Frequency distribution table:
| Class Interval | Frequency |
| -------------- | --------- |
| 70 - 79 | 5 |
| 80 - 89 | 10 |
| 90 - 99 | 5 |
6. For the histogram:
- Draw bars for each class interval with heights equal to their frequencies.
7. For the cumulative frequency graph:
- Calculate cumulative frequencies:
- 70-79: 5
- 80-89: 5 + 10 = 15
- 90-99: 15 + 5 = 20
- Plot cumulative frequency against the upper boundary of each class interval:
- At 79 → 5
- At 89 → 15
- At 99 → 20
This completes the solution steps.