MCQ
Consider the following frequency distribution:
Class: 0-5 6-11 12-17 18-23 24-29
Frequency: 13 10 15 8 11
The upper limit of the median class is:
  • A
    17
  • 17.5
  • C
    18
  • D
    18.5

Answer

Correct option: B.
17.5
Given, classes are not continuous, so we make continuous by subtracting 0.5 from lower limit and adding 0.5 to upper limit of each class.
Class
Frequency
Cumulative Frequency
0.5-5.5
13
13
5.5-11.5
10
23
11.5-17.5
15
38
17.5-23.5
8
46
23.5-29.5
11
57
Here,$\frac{\text{N}}{2}=\frac{57}{2}=28.5,$ which lies in the interval 11.5-17.5.
Hence, the upper limit is 17.5.

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