Frequency Sum
1. Given a frequency table with classes and cumulative frequencies, we need to find $X+Y$.
2. From the table, the cumulative frequency for the second class interval ($15-19$) is 11. Since the cumulative frequency is the sum of all frequencies up to that point, we have:
$$5 + X = 11 \implies X = 11 - 5 = 6$$
3. The cumulative frequency for the last class interval ($30-34$) is 30. The cumulative frequency up to the fourth class interval ($25-29$) is $Y$, and frequencies from the first four classes sum to:
$$5 + X + 4 + 7 = 5 + 6 + 4 + 7 = 22$$
Since the final cumulative frequency is 30, adding the last frequency 8:
$$Y + 8 = 30 \implies Y = 30 - 8 = 22$$
4. Therefore,
$$X + Y = 6 + 22 = 28$$
Answer: C 28