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Question

The following scores were obtained in a statistics exam

class interval[50,60)[60,70)[70,80)[80,90)[90,100)Class value xi 5565758595Frequency fi14652

Find:

i) Considering the class value, the average score of the whole class.

ii) The ratio of the no. of students who scored above 80 to the ratio no. of students who scored below 70.


A

65.667, 3:4

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B

76.667, 7:5

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C

68.667, 7:3

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D

81.333, 3:5

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Solution

The correct option is B

76.667, 7:5


i) Average score of the whole class = 1×55+4×65+6×75+5×85+2×951+4+6+5+2

= 138018= 76.667

ii) No. of students above 80= no. of students in the range [80,90) + no. of students in the range [90,100) = 5 + 2 = 7 – (1)

No. of students below 70= no. of students in the range [50,60) + no. of students in the range [60,70) = 1 + 4 = 5 – (2)

Ratio of the no. of students above 80 to the ratio no. of students below 70 = (1):(2) = 7:5


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