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Q.

In a frequency distribution, the mid value of a class is 10 and the width of the class is 6. The lower limit of the class is

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a

8

b

7

c

10

d

12

answer is B.

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Detailed Solution

Given that in a frequency distribution, the mid value of a class is 10 and the width of the class is 6.
We know that if mid value and width of the interval is given, then the formula for lower limit is,

l = M − w 2

,
where

is lower limit,

is mid value, and w is the width of the interval.
Mid value of class is 10 and the width of the class is 6.
We need to find the lower limit.
Let M be mid value, and W is the width of the interval, then lower limit l will be

l = 10 - \frac{6}{2}

= 10 - 3

= 7

So, the lower limit of the class is 7.
The correct option is (2).

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