Question

Yall help please

Sandeep sat 11 tests in January 2020.

Each test was marked out of 60.

Here are his test results .

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Find the interquartile range of these test results.

Answer 1

Given:

The data values are 45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42.

To find:

The interquartile range of these test results.

Solution:

We have, the set of data values.

45, 41, 35, 44, 38, 47, 47, 39, 37, 43, 42

Arrange the data in ascending order.

35, 37, 38, 39, 41, 42, 43, 44, 45, 47, 47

Divide the data in two equal parts.

(35, 37, 38, 39, 41), 42, (43, 44, 45, 47, 47)

Divide each parenthesis in two equal parts.

(35, 37), 38, (39, 41), 42, (43, 44), 45, (47, 47)

Here,

First quartile:
`Q_1=38`

Third quartile:
`Q_3=45`

Now, the interquartile range is

`IQR=Q_3-Q_1`

`IQR=45-38`

`IQR=7`

Therefore, the interquartile range of these test results is 7.