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Question

The highest score of a certain data exceeds in lowest score by 16 and coefficient of range is 13. The sum of the highest score and the lowest score is

A
36
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B
48
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C
24
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D
18
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Solution

The correct option is B 48
Let the highest score be xm and
the lowest score be x0
Given that highest score exceeds lowest score by 16
xm=x0+16xmx0=16 ————(1)

Coefficient of range is given by xmx0xm+x0

Given that coefficient of range is 13

xmx0xm+x0=13 ———(2)

Substitute (1) in (2) we get

16xm+x0=13

xm+x0=16×3=48

Therefore sum of the highest score and lowest score is 48

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