Further Mathematics Paper 2, WASSCE (SC), 2017

Question 13

 

The table shows the frequency distribution of the ages of patients in a clinic:

Age (Years)

17 – 19

20 – 22

 23 – 28

29 – 34

35 – 43

No. of Patients

6

9

12

18

18

  1.    Draw a histogram for the distribution;
  2.    Find, correct to two decimal places, the mean age of the patients.

Observation

 

The Chief Examiner reported that majority of the candidates could not draw the required histogram due to unequal class interval and poor knowledge of frequency density. However, they were able to calculate the mean age of the patients in part (b).
 In part (a), it was expected that the candidates present the frequency distribution table as shown:

 

Age

Frq (f)

Class Boundary

Class Size (c)

f/c

X

fx

17 – 19

6

16.5 – 19.5

3

2

18.0

108

20 – 22

9

19.5 – 22.5

3

3

21.0

18.9

23 – 28

12

22.5 – 28.5

6

2

25.5

306

29 – 34

18

28.5 – 34.5

6

3

31.5

567

35 – 43

18

34.5 – 43.5

9

2

39.5

702

 

63

 

 

 

 

1872