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.

Answer 1

Before constructing a box-and-whisker plot, make sure the data is arranged in order from least to greatest. The median is identified first, creating two halves of the data set. Then each half is separated into halves again defined as quartiles, or fourths. The lower quartile is the median of the lower half of the data, and the upper quartile is the median of the upper half of the data. Thus, 25% of the data is less than the lower quartile, and 25% of the data is greater than the upper quartile. The word quartile refers to 25% (quarter) of the data.

Answer 2

School A 25 21 2 22 20 21 20 23 1
1, 2, 20, 20, 21, 21, 22, 23, 25

School B 3 2 1 5 4 2 3 4 3
1, 2, 2, 3, 3, 3, 4, 4, 5

Answer 3

School A
The Median is 21

School B
The Median is 3

Answer 4

School A
Lower Extreme - 20
Upper Extreme - 22

School B
Lower Extreme - 2
Upper Extreme - 4

Answer 5

Do you think you can draw this out?

Answer 6

im really confused