Question

19 15 35 28 15 19 30 12 10 20 16 28 36 19 20 55...

19
15
35
28
15
19
30
12
10
20
16
28
36
19
20
55

Is 55 an outlier?

Homework Answers

Answer #1

putting above data in ascending order:

s. no x
1 10
2 12
3 15
4 15
5 16
6 19
7 19
8 19
9 20
10 20
11 28
12 28
13 30
14 35
15 36
16 55

first quartile Q1=npth value =16*0.25 th value =4th value =(15+16)/2= 15.5

3rd  quartile Q3 =npth value =16*0.75 th value =12 th value =(28+30)/2 =29

therefore upper fence=Q3+1.5*(Q3-Q1)=29+1.5*(29-15.5)=49.25

as 55 falls above upper fence , therefore 55 is an outlier.

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