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oksian1 [2.3K]
3 years ago
13

What is the interquartile range (IQR) of the following data set?

Mathematics
1 answer:
OleMash [197]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Arrange data set

19, 4, 17, 3, 6, 5,5, 3, 11, 12, 3, 7, 15, 8, 8, 10,5, 3, 12, 41, 36

in ascending order

3, 3, 3, 3, <u>4, 5,</u> 5, 5, 6, 7, 8, 8, 10, 11, 12, <u>12, 15,</u> 17, 19, 36, 41

The median is Q_2=8

Q_1=\dfrac{4+5}{2}=4.5  

Q_3=\dfrac{12+15}{2}=13.5

Thus, the interquartile range is

Q_3-Q_1=13.5-4.5=9

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