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A traffic inspector has counted the number of vehicles passing through a certain point in 100...

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Question

Basic Math

A traffic inspector has counted the number of vehicles passingthrough a certain point in 100 successive 20 – minute time periods.The observations are listed below.

23

20

16

18

30

22

26

15

5

18

14

17

11

37

21

6

10

20

22

25

19

19

19

20

12

23

24

17

18

18

27

16

28

26

15

29

19

35

20

17

12

30

21

22

20

15

18

16

23

24

15

24

28

19

24

22

17

19

8

18

17

18

23

21

25

19

20

22

21

23

16

20

19

11

23

17

23

13

17

26

26

14

15

16

27

18

21

24

33

20

21

27

18

22

17

20

14

21

22

10

You are required to:

a) Present these data on a grouped frequency distribution withclass width of 5 for each class starting with 5 to 9, 10 to 14 andsoon.                                   [5 marks]

b) Determine the real class limits and hence show the data on ahistogram. [5marks]

c) Estimate the (I) mean (ii) Mode and (iii)Median.        [4 + 6+6 = 10marks]

d) Estimate the (I) Quartiles (ii) Quartile Deviation (iii)Sample variance (iv) Sample standarddeviation.          [6 + 2 + 4 + 2 = 14 marks]

e) Find the (I) Coefficient of variation (ii) Coefficient ofSkewness.              [3 + 3 = 6 marks]

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