MCQ
Choose the correct answer from the given four options:
Consider the data:
Class 65-85 85-105 105-125 125-145 145-165 165-185 185-205
Frequency 4 5 13 20 14 7 4
The difference of the upper limit of the median class and the lower limit of the modal class is:
  • A
    0
  • B
    19
  • 20
  • D
    38

Answer

Correct option: C.
20
Here,
Class Frequency Cumulative frequency
65-85 4 4
85-105 5 9
105-125 13 22
125-145 20 42
145-165 14 56
165-185 7 63
185-205 4 67
Here, $\frac{\text{N}}{2}=\frac{67}{2}=33.5$ which lies in the interval 125-145.
ence, upper limit of median class is 145.
Here, we see that the highest frequency is 20 which lies in 125-145. Hence, the lower limit of modal class is 125.
Required difference = Upper limit of median class - Lower limit of modal class = 145 - 125 = 20

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