Question

What is the interquartile range of the data set?

Answer 1

The interquartile range is 5. The IQR can be found by subtracting the Q1 from Q3.

Answer 2

Answer:

The Interquartile range of the data set is 12.5.

Step-by-step explanation:

1 stem 8 leaf = 18

From the given table the given data is

28, 30, 40, 43, 43, 45, 50, 50

Arrange the data in ascending order.

28, 30, 40, 43, 43, 45, 50, 50

Divide the data in two equal parts.

(3, 28, 40, 43), (43, 45, 50, 50)

Divide each parenthesis in 2 equal parts.

(28, 30), (40, 43), (43, 45), (50, 50)

First quartile is midpoint of 30 and 40.

$Q_1=\frac{30+40}{2}=35$

Third quartile is midpoint of 45 and 50.

$Q_3=\frac{45+50}{2}=47.5$

Interquartile range of the data set

$IQR=Q_3-Q_1=47.5-35=12.5$

Therefore the Interquartile range of the data set is 12.5.