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Mathematics

If 10, 15, 20, … are respectively the mid-value of the classes of a grouped frequency distribution, then the class whole mid-value is 25 is :

  1. 20 - 27

  2. 22.5 - 27.5

  3. 21.5 - 28.5

  4. 21 - 28

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Answer

Difference between the mid values = 15-10 = 5

So, the class width = 5

For the class whose mid-value 25 is

Lower limit = 25 - Class width2\dfrac{\text{Class width}}{2} = 22.5

Upper limit = 25 + Class width2\dfrac{\text{Class width}}{2} = 27.5

So the Class is 22.5 - 27.5.

Hence, option 2 is the correct option.

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