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The class marks of a frequency distribution are given as follows: 15, 20, 25, ..... The class corresponding to the class mark 20 is :

(A)\; 12.5-17.5

(B)\; 17.5-22.5

(C)\; 18.5-21.5

(D)\; 19.5-20.5

 

Answers (1)

Answer : B

The class marks of a frequency distribution are given as: 15, 20, 25, ...

Class size for the given frequency distribution is: 20-15=5

To find the class corresponding to the class mark 20:

We will use the formula

\text{Upper limit}=\text {class mark}+\frac{\text {class size}}{2}

                   =20+\frac{5}{2}=\frac{40+5}{2}=\frac{45}{2}

                   =22.5

\text{Lower limit}=\text {class mark}-\frac{\text {class size}}{2}

                  =20-\frac{5}{2}=\frac{35}{2}=17.5

Hence, 17.5-22.5 is the corresponding class to the classmark 20

Therefore option (B) is correct.

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