The following table shows the number of hours some teachers in two schools expect students to spend on homework each week: school a 9 14 15 17 17 7 15 6 6 school b 12 8 13 11 19 15 16 5 8 part a: create a five-number summary and calculate the interquartile range for the two sets of data. (6 points) part b: are the box plots symmetric? justify your answer. (4 points)

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Step-by-step explanation:

Part A

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set in four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

Interquartile range of the data is

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

Interquartile range of the data is

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data set are different.

the first dot plot best represents the data

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