Mathematics
The marks obtained by 100 students in a Mathematics test are given below :
| Marks | No. of students |
|---|---|
| 0 - 10 | 3 |
| 10 - 20 | 7 |
| 20 - 30 | 12 |
| 30 - 40 | 17 |
| 40 - 50 | 23 |
| 50 - 60 | 14 |
| 60 - 70 | 9 |
| 70 - 80 | 6 |
| 80 - 90 | 5 |
| 90 - 100 | 4 |
Draw an ogive on a graph sheet and from it determine the :
(i) median
(ii) lower quartile
(iii) number of students who obtained more than 85% marks in the test
(iv) number of students who did not pass in the test if the pass percentage was 35.
Related Questions
The monthly income of a group of 320 employees in a company is given below :
Monthly Income (in ₹) No. of Employees 6000 - 7000 20 7000 - 8000 45 8000 - 9000 65 9000 - 10000 95 10000 - 11000 60 11000 - 12000 30 12000 - 13000 5 Draw an ogive of the given distribution on a graph sheet taking 2 cm = ₹1000 on one axis and 2 cm = 50 employees on the other axis. From the graph, determine :
(i) The median wage.
(ii) The number of employees whose income is below ₹8500.
(iii) If the salary of a senior employee is above ₹11500, find the number of senior employees in the company.
(iv) The upper quartile.
The following distribution represents the height of 160 students of a school.
Height (in cm) No. of students 140 - 145 12 145 - 150 20 150 - 155 30 155 - 160 38 160 - 165 24 165 - 170 16 170 - 175 12 175 - 180 8 Draw an ogive for the given distribution taking 2 cm = 5 cm of height on one axis and 2 cm = 20 students on the other axis. Using the graph, determine :
(i) The median height.
(ii) The inter quartile range.
(iii) The number of students whose height is above 172 cm.
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 ogive to estimate the following :
(i) the median
(ii) the number of students who obtained more than 75% marks in the test.
(iii) the number of students who did not pass in the test if the pass percentage was 40.
Use graph paper for this question.
A survey regarding height (in cm) of 60 boys belonging to class 10 of a school was conducted. The following data was recorded :
Height (in cm) No. of boys 135 - 140 4 140 - 145 8 145 - 150 20 150 - 155 14 155 - 160 7 160 - 165 6 165 - 170 1 Taking 2 cm = height of 10 cm on one axis and 2 cm = 10 boys along the other axis, draw an ogive of the above distribution. Use the graph to estimate the following :
(i) median
(ii) lower quartile
(iii) if above 158 is considered as the tall boy of the class, find the number of boys in the class who are tall.