The following table shows the number of hours some students in two universities spend reading each week:
school a : 7 2 3 10 17 14 10 22 2
school b : 9 10 16 18 20 15 17 18 14
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)

Part A- Interquartile range  of school A  = 13  and school B= 6

Part B- They are not symmetric.

Step-by-step explanation:

Given : Data that shows the number of hours some students in two universities spend reading each week:

School A :   7  2  3  10  17  14  10  22  2

School B : 9   10  16  18  20  15  17  18 14

To find :  

Part A: Create a five-number summary and calculate the inter quartile range for the two sets of data.

Part B: Are the box plots symmetric?

Solution : First arrange the data set in ascending order:

School A:    2,   2,    3,   7,   10,    10,    14,    17,   22

School B:    9,   10,    14,   15,   16,   17,    18,    18,   20

1) Part A - To create five- number summary:

→For School A-

The median is 10.

Therefore, the lower half of the data is: {2,2,3,7}.

The first quartile, , is the median of {2,2,3,7}.

Since there is an even number of values, we need the mean of the middle two values to find the first quartile:

Similarly, the upper half of the data is: {10,14,17,22}, so

→Similarly for School B

The median is 16.

Therefore, the lower half of the data is: {9,10,14,15}.

The first quartile,  , is the median of {9,10,14,15}.

Since there is an even number of values, we need the mean of the middle two values to find the first quartile:

Similarly, the upper half of the data is: {17,18,18,20}, so

Inter quartile range is

                            School A         School B

minimum                 2                  9

        2.5               12

median                    10                16

      15.5              18

maximum               22               20

IQR                          13                  6

2) Part B- The box plot are not symmetric. The distance of the median from each and  should be equal for the box plot to be symmetric.

8121 because

130,000 divided by 16 is 8121

no he doesnt because "-16' is negatiive

step-by-step explanation: