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 of the frequency distribution in the table, we need to arrange the ages in ascending order and then find the middle value. However, since we are given the frequency of each age group, we need to use cumulative frequency to find the median. First, we calculate the cumulative frequency by adding up the frequency of each age group. We can add the frequencies from the bottom up or from the top down. In this case, we will add from the bottom up: Age | Frequency | Cumulative Frequency ----- | -----------| --------------------- 20 | 3 | 3 25 | 5 | 8 30 | 1 | 9 35 | 1 | 10 40 | 2 | 12 45 | 3 | 15 Next, we find the median age by finding the age that corresponds to the middle value of the cumulative frequency. Since there are 15 people in total, the middle value is (15 + 1) ÷ 2 = 8. Looking at the cumulative frequency column, we can see that the age group that corresponds to the 8th person is 25-29, which has a cumulative frequency of 8. Therefore, the median age is in the range of 25-29. Since the age group 25-29 has a frequency of 5, we can assume that the median age lies somewhere in the middle of this range. We can take the midpoint of this range as the median age. The midpoint is (25 + 29) ÷ 2 = 27. Therefore, the median age of the frequency distribution in the table is 27. Answer: Option (B) 25.