The table shows the distribution of marks scored by some students in a test. Marks 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100 No. of studen...

Question 1 Report

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

Marks 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100
No. of students 3 17 41 85 97 115 101 64 21 6

(a)(i) Construct a cumulative frequency table for the distribution ; (ii) Draw a cumulative frequency curve for the distribution.

(b) Use the curve to estimate the :

(i) number of students who scored marks between 32 and 74 ; (ii) pass mark, if 18% of the students failed ; (iii) lowest mark for distinction, if 8% of the students passed with distinction.