Answer: To find the interval that contains the median temperature, we need to calculate the cumulative frequency and determine which interval includes the middle value.
Given the frequency table:
- Interval 0-9: Frequency = 7
- Interval 10-19: Frequency = 5
- Interval 20-29: Frequency = 6
- Interval 30-39: Frequency = 13
To find the median, we need to add up the frequencies until we reach the middle value. The total number of observations is 7 + 5 + 6 + 13 = 31.
The median position for an odd number of observations is given by (n+1)/2, where n is the total number of observations. In this case, it is (31+1)/2 = 16.
Counting the cumulative frequencies:
- 0-9: 7
- 10-19: 7 + 5 = 12
- 20-29: 12 + 6 = 18
Since the median position falls within the interval 20-29, the correct answer is:
C. 20-29
Explanation:
