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Question
For the following distribution:
| Class | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 |
| Frequency | 10 | 15 | 12 | 20 | 9 |
The sum of lower limits of the median class and modal class is:
Options
15
25
30
35
Solution
25
Explanation:
| Class | Frequency | Cumulative Frequency |
| 0 – 5 | 10 | 10 |
| 5 – 10 | 15 | 25 |
| 10 – 15 | 12 | 37 |
| 15 – 20 | 20 | 57 |
| 20 – 25 | 9 | 66 |
From the table, `N/2 = 66/2 = 33`, which lies in the interval 10 – 15.
Hence, lower limit of the median class is 10.
The highest frequency is 20, which lies in between the interval 15 – 20.
Hence, lower limit of modal class is 15.
Therefore, required sum is 10 + 15 = 25.
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