Answer:
The interquartile range for the data set is 35.5.
Step-by-step explanation:
The given data set is
241, 230, 201, 245, 209, 211, 242, 201, 204, 228, 242, 243
Arrange the given data in ascending order.
201, 201, 204, 209, 211, 228, 230, 241, 242, 242, 243, 245
Divide the data in 4 equal parts.
(201, 201, 204), (209, 211, 228), (230, 241, 242), (242, 243, 245)
Now, we can say that the first quartile is the midpoint of 204 and 209. Third quartile is the midpoint of 242 and 242.
[tex]Q_1=\frac{204+209}{2}=206.5[/tex]
[tex]Q_2=\frac{242+242}{2}=242[/tex]
The interquartile range of the data set is
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=242-206.5=35.5[/tex]
Therefore the interquartile range of the data set is 35.5.
