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

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

Marks No. of Students
1 – 10 2
11 – 20 3
21 – 30 5
31 – 40 13
41 – 50 19
51 – 60 31
61 – 70 13
71 – 80 9
81 - 90 4
91 - 100 1
(a) draw a cumulative frequency curve for the distribution
(b) Use your graph to find;
(i) 60 th percentile
(ii) The semi-interquartile range
(iii) The probability that a student chosen at random scored at least 75%.
(iv) Lowest mark for distinction if 5% of the students passed with distinction.
(c) A student is selected at random from the class find the probability that the student
(i) passed the test if the pass mark was fixed at 35%
(v) Obtained a distinction if 5% of the students passed with distinction. (using your
Ogive)?

In Mathematics
1 Answers Available
Asked by Josie on 9th June, 2021