Mathematics
The marks obtained by 120 students in a Mathematics test are given below :
| Marks | No. of students |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 9 |
| 20 - 30 | 16 |
| 30 - 40 | 22 |
| 40 - 50 | 26 |
| 50 - 60 | 18 |
| 60 - 70 | 11 |
| 70 - 80 | 6 |
| 80 - 90 | 4 |
| 90 - 100 | 3 |
Draw an ogive for the given distribution on a graph sheet. Use a suitable scale for your ogive. Use your ogive to estimate :
(i) the median
(ii) the number of students who obtained more than 75% marks in a test ?
(iii) the number of students who did not pass in the test if the pass percentage was 40?
(iv) the lower quartile.
Related Questions
Using a graph paper, draw an ogive for the following distribution which shows a record of the weight in kilograms of 200 students.
Weight Frequency 40 - 45 5 45 - 50 17 50 - 55 22 55 - 60 45 60 - 65 51 65 - 70 31 70 - 75 20 75 - 80 9 Use your ogive to estimate the following :
(i) The percentage of students weighing 55 kg or more.
(ii) The weight above which the heaviest 30% of the students fall,
(iii) The number of students who are (a) under-weight and (b) over weight, if 55.70 kg is considered as standard weight ?
The mean of 1, 7, 5, 3, 4 and 4 is m. The numbers 3, 2, 4, 2, 3, 3 and p have mean m - 1 and median q. Find p and q.
In a malaria epidemic, the number of cases diagnosed were as follows :
Date (July) Number 1 5 2 12 3 20 4 27 5 46 6 30 7 31 8 18 9 11 10 5 11 0 12 1 On what days do the mode, the upper and the lower quartiles occur ?
The distribution given below, shows the marks obtained by 25 students in an aptitude test. Find the mean, median and mode of the distribution.
Marks obtained No. of students 5 3 6 9 7 6 8 4 9 2 10 1