Question

What is the interquartile range of this set of data? 15, 19, 20, 25, 31, 38, 41 6 13 19 26

Answer 1

Answer:

The interquartile range of given set of data is 16.

Step-by-step explanation:

Interquartile range is the difference between first quartile and third quartile.

$IQR=Q_3-Q_1$

The given set of data is

15, 19, 20, 25, 31, 38, 41, 6, 13, 19, 26

Arrange the data in ascending order.

6, 13, 15, 19, 19, 20, 25, 26, 31, 38, 41

The number of elements in data set is 11. It means 6th term divides the data in two equal parts. The median of the data is 20.

(6, 13, 15, 19, 19), 20, (25, 26, 31, 38, 41)

Now, divide each parenthesis in two equal parts.

(6, 13), 15,(19, 19), 20, (25, 26), 31, (38, 41)

$Q_1=15$

$Q_2=Median=20$

$Q_3=31$

$IQR=31-15=16$

Therefore the interquartile range of given set of data is 16.

Answer 2

Answer:

19

Step-by-step explanation: