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.

Given the quartiles Upper Q 1 equals = 2.405, Upper Q 2 equals = 4.570, and Upper Q3 equals = 6.285,
determine the lower and upper fences. Are there any outliers, according to this criterion?

Lower -

Upper -

Are there any outliers, according to this criterion? -

0.74

2.64

4.78

6.52

1.01

3.08

4.93

6.93

1.25

3.57

5.27

7.41

1.69

4.05

5.75

7.71

2.17

4.36

6.05

8.08

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 = 2.405, Upper Q 2 equals = 4.570, and Upper Q3 equals = 6.285,
determine the lower and upper fences. Are there any outliers, according to this criterion?

Lower -

Upper -

Are there any outliers, according to this criterion? -

0.74

2.64

4.78

6.52

1.01

3.08

4.93

6.93

1.25

3.57

5.27

7.41

1.69

4.05

5.75

7.71

2.17

4.36

6.05

8.08

Explanation / Answer

Sol:

IQR=INTER QUARTILE RANGE=Q3-Q1=6.285-2.405=3.88

fREQUENT RULE OF OUTLIER IDENTIFIATION:

data point fallls outside the lower and upper fences

UPPER -Q3+1.5IQR=6.285+1.5(3.88)=12.105

LOWER-Q1-1.5IQR=2.405-1.5(3.88)=-3.415

VALUE BELOW -3 .415 AND VALUE ABOVE 12.105 IS OUTLIER

NO OUTLIERS IN THE DATASET

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