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.

Part B: Are the box plots symmetrical in shape? Justify your answer.

Question

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. 

Part B: Are the box plots symmetrical in shape? Justify your answer.

anonymous · Answer

@kirbykirby @DangerousJesse

kirbykirby · Answer

First you must order your data from smallest to largest in that order. Then the middle value will be the median.

anonymous · Answer

ok i have to go eat can you help in in 30 min

kirbykirby · Answer

Once you find your middle value (median), you will have 4 data points below that value, and 4 data points above that value

To find the 1st quartile, you need to take the mean of the 2 middle points of the lower 4 points. 

To find the 3rd quartile, you need to take the mean of the 2 middle points of the higher 4 points.

kirbykirby · Answer

The minimum value is self-explanatory; it is the smallest value in your data set (since you ordered it from smallest to largest, it will be the 1st data point) 

The interquartile range = (3rd quartile) - (1st quartile)

kirbykirby · Answer

The box and whisker plot will look something like this: |dw:1408231928996:dw|