Q. 145.0( 5 Votes )
Consider the frequency distribution of the heights of 60 students of a class:
The Sum of the lower limit of the modal class and the upper limit of the median class is
A. 310
B. 315
C. 320
D. 330
Answer :
To find median class,
Assume Σfi = N = Sum of frequencies,
fi = frequency
and Cf = cumulative frequency
So, N = 60
⇒ N/2 = 60/2 = 30
The cumulative frequency just greater than (N/2 = ) 30 is 37, so the corresponding median class is 160 - 165.
∴ upper limit of median class = 165
For modal class,
Here, the maximum class frequency is 16.
The class corresponding to this frequency is the modal class. ⇒ modal class = 150 - 155
∴ lower limit of the modal class = 150
Hence, Sum of lower limit of the modal class and upper limit of the median class = 165 + 150 = 315
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