Question

frequency distribution of given as follows 12 18 24...... class corresponding to the class mark is

Answer 1

The class corresponding to the class mark 24 is 21 - 27

Correct question : The class mark of a frequency distribution are given as follows 12 , 18 , 24. The class corresponding to the class mark 24 is

Given :

The class mark of a frequency distribution are given as follows 12 , 18 , 24.

To find :

The class corresponding to the class mark 24

Solution :

Step 1 of 2 :

Find class size

Here it is given that the class mark of a frequency distribution are given as follows 12 , 18 , 24

We know for a given frequency distribution class size is the difference between two successive class mark

So the class size of the frequency distribution

= 18 - 12

= 6

Step 2 of 2 :

Find the class corresponding to the class mark 24

Here the given class mark is 24

Then for the class mark 24

Lower class limit

$\displaystyle \sf{ = Class \: mark - \frac{Class \: size}{2} }$

$\displaystyle \sf{ = 24 - \frac{6}{2} }$

$\displaystyle \sf{ = 24 - 3 }$

$\displaystyle \sf{ = 21 }$

Upper class limit

$\displaystyle \sf{ = Class \: mark + \frac{Class \: size}{2} }$

$\displaystyle \sf{ = 24 + \frac{6}{2} }$

$\displaystyle \sf{ = 24 + 3 }$

$\displaystyle \sf{ = 27}$

Hence the class corresponding to the class mark 24 is 21 - 27

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