Question

Here is a sample data set (n -48) that is nearly normal with two outliers (as can be seen in the histogram provided after the data set) 122.8 125.9 1323 13871421 45.6 53.8156.71 |29 7143.71 41 T44.4 42.4141.6T 26,8 T 442 48 46.7 38.2 40.2 40.2 45.7 34.1 48.3 49 23.6 36.9 46.2 38.2 46.5 28.826 126.814271532130·6140,6 388JL 50.7 35.3 29.7 31.744.9 43.7 45.9 56.4 70.26 87.21 12 10 6 2025303540455055606570758085 length (cm)

how many mild outliers are in this data set?
hiw many extreme outliers are in this data set?

Answer 1

how many mild outliers are in this data set?

Mild outliers are data points that are more extreme than than Q1 - 1.5 * IQR or Q3 + 1.5 * IQR, but are not extreme outliers.

From Minitab we calculated Quartile 1, 3 and Interquartile range IQR.

Variable Q1 Q3 IQR
Sample data 32.75 46.42 13.67

Q1 - 1.5 * IQR or Q3 + 1.5 * IQR,

32.75-1.5*13.67 or 32.75+1.5*13.67

12.245 or 53.25

So from the sample 5 mild outliers are 53.8,56.4,56.7,70.26,87.21.

Answer :

Mild outliers are data points that are more extreme than than Q1 - 1.5 * IQR or Q3 + 1.5 * IQR, but are not extreme outliers.

how many extreme outliers are in this data set?

Answer:

Extreme outliers are data points that are more extreme than Q1 - 3 * IQR or Q3 + 3 * IQR.

Variable Q1 Q3 IQR
Sample data 32.75 46.42 13.67

Q1 - 3 * IQR or Q3 + 3 * IQR.

32.75-3*13.67 or 32.75+3*13.67

-8.24 or 73.76

From the sample there one extreme Outlier 87.21.

Hope this will be helpful Thanks and God Bless you :)