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Q.

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


Question Image

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a

9

b

5

c

8

d

10 

answer is C.

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Detailed Solution

Given that, mode =67Question ImageWe 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 ImageThe missing frequency is x = 8.
The correct option is (3).
 
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