The table shows the distribution of marks obtained by students in an examination. Marks (%) 0 - 9 10 - 19 20 - 29 30 - 39 40 - 49 50 - 59 60 - 69 70 - 79 80...

The table shows the distribution of marks obtained by students in an examination. 

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

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

(c) Using the curve, find correct to one decimal place, the:

(i) median mark;

(ii) lowest mark for the distinction if 5% of the students passed with distinction

Answer Details

a) To construct a cumulative frequency table, we add up the frequencies for each interval to find the cumulative frequency for each interval. Here's what the cumulative frequency table would look like:

b)

(c)

(i) Median Mark = 54.5 

(ii) Lowest mark, if 5% of the students passed = 14