Answer to Question #292087 in Statistics and Probability for Yoks

Question

a) Marks out of 100 for 100 students were tabulated as shown below:

Marks

f

11 – 20

4

21 – 30

16

31 – 40

27

41 – 50

32

51 – 60

15

61 – 70

4

71 – 80

2

i) Calculate the mean mark. (4 marks)

ii) Draw an ogive to represent the above data.

(4 marks)

iii) Use the ogive to estimate the upper quartile and the lower quartile (2 marks)

iii) Estimate from your ogive the minimum marks required to get grade A if

iv) only 5 students are to get grade A. (2 marks)

v) How many students were to pass if the pass mark was set at 25 marks? (2 marks)