Question

of the data lies in the inter-quartile range.

• A. 50%
• B. 25%
• C. 75%

Answer 1

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.

$\therefore$ 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=
$100\%-(25\%+25\%)=100\%-50\%=50\%$

$\therefore$ $50\%$ of data lies in the inter-quartile range.