The table shows the distribution of marks scored by students in a test. Mark (%) 10 - 19 20 - 29 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 99 Fre...

Question 1 Report

The table shows the distribution of marks scored by students in a test.

Mark

(%)

10 - 19 20 - 29 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79 80 - 89 90 - 99
Frequency 4 7 12 18 20 14 9 4 2


(a) Construct a cumulative frequency table for the distribution.

 

(b) Draw a cumulative frequency curve for the distribution.

 

(c) Use the curve to estimate the:

(i) median;

(ii) probability that a student selected at random obtained distinction, if the lowest mark for distinction is 75%.