Suppose the data represent the inches of rainfall in April for a certain city ov

Question

Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years.

0.25

1.79

3.68

5.13

0.66

2.15

3.94

5.55

0.92

2.57

4.33

5.83

1.14

3.01

4.64

6.15

1.37

3.31

4.91

6.28

Suppose the data represent the inches of rainfall in April for a certain city over the course of 20 years.

Given the quartiles Upper Q 1 equals = 1.580, Upper Q 2 equals = 3.495, and Upper Q 3 equals = 5.020, compute the interquartile range, IQR.

0.25

1.79

3.68

5.13

0.66

2.15

3.94

5.55

0.92

2.57

4.33

5.83

1.14

3.01

4.64

6.15

1.37

3.31

4.91

6.28

Explanation / Answer

Solution:

We are given

First Quartile = Q1 = 1.580

Second Quartile = Median = Q2 = 3.495

Third Quartile = Q3 = 5.020

We have to compute inter-quartile range IQR. The formula for IQR is given as below:

IQR = Q3 – Q1

IQR = 5.020 – 1.580 = 3.440

Inter-quartile Range = 3.440

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