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Mathematics

The class marks of a frequency distribution are 28, 34, 40, 46, 52. Find the class-size and all the class intervals.

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Answer

By formula,

Class Size = Difference between two consecutive class marks

= 34 - 28 = 6.

Lower limit = Class mark - Class size2\dfrac{\text{Class size}}{2}

Upper limit = Class mark + Class size2\dfrac{\text{Class size}}{2}

Class intervals for class mark 28 :

Lower Limit = 28 - 3 = 25

Upper limit = 28 + 3 = 31

Class = 25 - 31

Class intervals for class mark 34 :

Lower Limit = 34 - 3 = 31

Upper limit = 34 + 3 = 37

Class = 31 - 37

Class intervals for class mark 40 :

Lower Limit = 40 - 3 = 37

Upper limit = 40 + 3 = 43

Class = 37 - 43

Class intervals for class mark 46 :

Lower Limit = 46 - 3 = 43

Upper limit = 46 + 3 = 49

Class = 43 - 49

Class intervals for class mark 52 :

Lower Limit = 52 - 3 = 49

Upper limit = 52 + 3 = 55

Class = 49 - 55.

Hence, class size = 6 and class intervals : 25 - 31, 31 - 37, 37 - 43, 43 - 49, 49 - 55.

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