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Mathematics

The class marks of a frequency distribution are given as follows :

15, 20, 25, ………

The class corresponding to the class mark 20 is

  1. 12.5 - 17.5

  2. 17.5 - 22.5

  3. 18.5 - 21.5

  4. 19.5 - 20.5

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Answer

As the class marks are 15, 20, 25, ……… which are at equal gaps, so the classes are of equal size.

∴ size of class = difference between two consecutive class marks
= 20 - 15 = 5.

Half of class size = 52\dfrac{5}{2} = 2.5

∴ Lower limit of class corresponding to the class mark 20 = class mark - half of class size
= 20 - 2.5 = 17.5

∴ Upper limit of class corresponding to the class mark 20 = class mark + half of class size
= 20 + 2.5 = 22.5

∴ Class corresponding to the class mark 20 is 17.5 - 22.5

Hence, Option 2 is the correct option.

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