Question

Check my answers?

The table below shows the number of students from different classes of two schools who participated in a sports competition.
School A 25 21 2 22 20 21 20 23 1
School B 3 2 1 5 4 2 3 4 3
Part A: How can you use box plots to compare the median and interquartile range of the data? Write the minimum value, first quartile, median, third quartile, and interquartile range for the two sets of data. (5 points)
Part B: Are the box plots symmetrical in shape? Justify your answer.

Answer 1

My answers: Part A: When using box plots, you get a better visual of the median and IQR which makes it easier to compare them.
School A:
Minimum Value: 1
First Quartile: 11
Median: 21
Third Quartile: 22.5
IQR: 11.5

School B:
Minumum Value: 1
First Quartile: 2
Median: 3
Third Quartile: 4
IQR: 2

Part B:
The box plot for School B is symmetrical in shape, this is because there are no outliers in the data, so it's not being skewed. The box plot for School A is not symmetrical because there are outliers present in the data, skewing the data to the side.