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Question

The table shows the Distribution of the Scores obtained by 155 shooters in a shooting competition.

ScoresNo. of shooters0−101010−201220−301530−40840−502050−602460−70770−801180−903090−10018

Use a graph sheet to draw an ogive for the distribution.

Using the graph estimate the Interquartile range


A

55

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B

84

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C

52

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D

44

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Solution

The correct option is C

52


C.Ifcf010101010201222203015373040845405020655060248960707967080111078090301379010018155

For finding the Interquartile range, first we have to find upper quartile and lower quartile.

Upper Quartile -

It is Given by 3n4

Here n = 155

3n4 = 3×1554 = 4654 = 116.25

So, we take the 116th term which comes out to be 84

Lower Quartile -

It is Given by n4

Here n = 155

n4 = 1554 = 38.75

So, we take the 39th term which comes out to be 32

Interquartile range = Upper Quartile - Lower Quartile = 84 - 32 = 52


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