Age 20 25 30 35 40 45 Number of people 3 5 1 1 2 3 Find the median age of the frequency distribution in the table above.
Question 1 Report
| Age | 20 | 25 | 30 | 35 | 40 | 45 |
| Number of people | 3 | 5 | 1 | 1 | 2 | 3 |
Find the median age of the frequency distribution in the table above.
Answer Details
To find the median age, we need to arrange the ages in ascending order and then find the middle value. However, since the table only gives us frequency counts for each age, we first need to construct a cumulative frequency distribution.
Age | Number of People | Cumulative Frequency
--- | --- | ---
20 | 3 | 3
25 | 5 | 8
30 | 1 | 9
35 | 1 | 10
40 | 2 | 12
45 | 3 | 15
The total number of people is 15, which is an odd number, so the median is simply the value that corresponds to the middle person. Since the cumulative frequency for 8 people is at age 25 and the cumulative frequency for 9 people is at age 30, the median age is 25.
Therefore, the answer is:
- 25
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