Question

What is the interquartile range of the following data set? 78, 90, 456, 676, 111, 381, 21

Answer 1

The interquartile range is 378

Answer 2

The answer is 378.

Explanation:

The given data set is: 78, 90, 456, 676, 111, 381, 21

Arranging this is ascending order.

21 , 78 , 90 , 111 , 381 , 456 , 676

To find the interquartile range, we will find the difference of the median between 1st half of numbers and median of 2nd half of number.

The median is the middle term in the arranged data set is 78.

The median is the middle term in the arranged data set is 456.

Now, their difference will be the interquartile range.

`456-78=378`

Therefore, the answer is 378.