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.
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Marks obtained No. of students 5 3 6 9 7 6 8 4 9 2 10 1 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,
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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.