The frequency distribution table shows the marks obtained by 100 students in a Mathematics test. Marks (%) 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81...

Question 1 Report

The frequency distribution table shows the marks obtained by 100 students in a Mathematics test.

Marks (%)

1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100
Frequency 2 3 5 13 19 31 13 9 4 1

(a) Draw the cumulative curve for the distribution.

(b) Use the graph to find the : (i) 60th percentile ; (ii) probability that a student passed the test if the pass mark was fixed at 35%.