The following data set represents the test scores of Mathematics 1A students

from 2 tutorial classes at the University of Adelaide. The test was out of 50.

Student

ID

Class

Test Result

a001

1

24

a002

2

15

a003

1

10

a004

1

31

a005

1

15

a006

2

17

a007

2

4

a008

1

8

a009

2

30

a0

10

2

25

a0

11

1

20

a0

12

2

23

a0

13

2

20

a0

14

1

12

a0

15

2

10

a0

16

1

14

a0

17

1

14

a0

18

2

8

a0

19

2

24

a0

20

1

17

a0

21

1

19

a0

22

2

45

a0

23

1

13

a)

Calculate summary statistics for each class as well as for the 2 classes

combined. You should include the means, medians, modes, standard

deviations and variances.

b)

For each class calculate the 5 number summary and use box and whisker

plots to display the 2 distributions. Be sure to clearly label any outliers

(note: you do not need to distinguish between unusual observations and

outliers).

c)

Discuss any differences in test results between the two classes.

d)

Did any students perform extraordinarily better or worse in comparison to

their classmates?