identify the outliers please The final GPAs from a study gro

identify the outliers please

The final GPAs from a study group are given below: Find the five number summaries and identify the outlier(s) Draw the boxplot. Calculate the sample mean. Also based on results, is this data symmetric, skewed to the right or skewed to the left? Why?

Solution

Minimum=2

Q1=2.9

Q2=3.5 ( median)

Q3=3.8

MAXIMUM=4

IQR=Q3-Q1 =3.8-2.9=0.9

FOR OULIERS, MINIMUM VALUE = Q1-1.5*IQR =2.9-1.5*0.9 =1.55

MAXIMUM VALUE = Q3+1.5*IQR =3.8+1.5*0.9 =5.15

There are no values below 1.55 or above 5.15.

Therefore there are no outliers.

Median =3. 5 which is > mean 3.3

Based on mean and median, the data is skewed to left.

mean	3.3