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Temperature Frequency

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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.