Bot, please answer this % score 11 - 20 21 - 30 31 - 40 41 - 50 51 - 60 61 - 70 71 - 80 81- 90
No of pupils 60 190 300 400 480 320 170 80
a) Prepare a cumulative frequency table and draw a cumulative frequency curve for the
distribution
b) Use your curve to estimate the
i. number of students that failed if the cut off mark is 55%
a) Cumulative Frequency Table:
% Score No. of Pupils Cumulative Frequency
11 - 20 60 60
21 - 30 190 250
31 - 40 300 550
41 - 50 400 950
51 - 60 480 1430
61 - 70 320 1750
71 - 80 170 1920
81 - 90 80 2000
Cumulative Frequency Curve:
2000 |
|
1500 | |
| |
| |
1000 | |
| |
| |
500 |_________|
11 31 51 71 90
- - - - -
b) Estimate:
From the cumulative frequency curve, we can estimate that about 1,010 students scored less than or equal to 55%. Therefore, the estimated number of students that failed if the cut off mark is 55% is 1,010.