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The mode of the following data is 67. Find the missing frequency x.

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answer is C.

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Detailed Solution

Given that, mode =67 Question Image

We know that,

mode = l + f 1 − f 0 2 f 1 − f 0 − f 2 × h

.
Here, the class with highest frequency is 60 – 70.
l = Lower limit of modal class = 60,
h = Class interval = 50 – 40 = 10,

f 1 =

frequency of modal class = 15,

f 0 =

Frequency of the class before the modal class

= x

f 2 =

Frequency of the class after modal class

= 12

.
Now substitute the above values in the mode formula.
Question Image

The missing frequency is x = 8.
The correct option is (3).

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