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 i) Considering the class value, the average score of the whole class is_____. ii) Ratio of the no. of students who scored above 80 to the no. of students who scored below 70 is______.

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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