MCQ
Choose the correct answer from the given four options:
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:
  • A
    15
  • 25
  • C
    30
  • D
    35

Answer

Correct option: B.
25
Here,
Class Frequency Cumulative frequency
0-5 10 10
5-10 15 25
10-15 12 37
15-20 20 57
20-25 9 66
Now, $\frac{\text{N}}{2}=\frac{66}{2}=33,$ which lies in the interval 10-15. Therefore, lower limit of the median class is 10.
The highest frequency is 20, which lies in the interval 15-20. Therefore, lower limit of modal class is 15.
Hence, required sum is 10 + 15 = 25.

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