Question

e) the scores required to be either mild or extreme outliers; identify if your data has any outliers and if so, what type . And find the z scores associated with the highest and the lowest data value .(Show all work for this part. Your work can either be handwritten or typed.)

19

9

1

10

14

4

8

7

9

10

5

4

5

3

4

8

15

7

8

5

9

6

8

13

2

4

8

9

20

8

Answer 1

Here using the excel summary is given below

n	30
Median	8
mean	8.06
Maximum	20
Minimum	4

Q1(Quartile 1)	5
Q3(Quartile 3)	9
Q3-Q1(IQR)	4
1.5*Q3-Q1	6

Lower limit for outlier = Q1-1*IQR =5-6=-1

Upper limit for outlier = Q3+3*IQR =9+6=15

Where

Q1=1st Quartile

Q3=3rd Quartile

IQR=Inter Quartile Range

So there exists two outliers 19 & 20

Z value is given by below formula  

Z value associated with highest value

Highest value is 20

Value of

Standard Deviation =4.525

Lowest value is 5