Consider the following data. The difference of the upper limit of the median class and the lower limit of the modal class is:

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answer is C.

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Detailed Solution

Given table is,
Question Image

Consider the table,
Question Image

Therefore,

N = 67 ⇒ N 2 = 672 ⇒ N 2 = 33.5

We see that 33.5 is the frequency that lies in the interval 125-145.
Therefore, the median class has the upper limit of 145.
The modal class is the class interval having the highest frequency.
From the table, we see that the highest frequency is 20 which lies in the interval 125-145. Thus, the modal class has a lower limit of 125.
The upper limit of the median class is 145.
The lower limit of the modal class is 125.
The required difference will be,
145 - 125 =20.
Hence, option 3 is correct.

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