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Question

# of the data lies in the inter-quartile range.

A
50%
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B
25%
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C
75%
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Solution

## The correct option is A 50%Inter-quartile range is the difference between the upper and lower quartiles. Let's understand with the following example. Here, 1 and 7.5 are the lower and upper quartiles, respectively. We know that out of the whole data set, 25% of the data retains to the left of lower quartile and another 25% of the data retains to the right of upper quartile. ∴ Remaining percentage of data points= percentage of data points lie between the upper and lower quartiles= percentage of data lie in the inter-quartile range= 100%−(25%+25%)=100%−50%=50% ∴ 50% of data lies in the inter-quartile range.

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