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Mathematics

The class marks of a distribution are 9.5, 16.5, 23.5, 30.5, 37.5 and 44.5. Determine the class size and the class limits of the third class.

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Answer

Class size = Difference between two successive class marks = 16.5 - 9.5 = 7.

Class mark of third class = 23.5

Lower limit of class = Class mark - (Class size/2)

= 23.5 - 72\dfrac{7}{2}

= 23.5 - 3.5

= 20.

Upper class limit = Class mark + (Class size/2)

= 23.5 + 72\dfrac{7}{2}

= 23.5 + 3.5

= 27.

Hence, class size = 7, lower limit = 20 and upper limit = 27.

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