Mathematics
Marks obtained by 200 students in an examination are given below :
| Marks | No. of students |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 11 |
| 20 - 30 | 10 |
| 30 - 40 | 20 |
| 40 - 50 | 28 |
| 50 - 60 | 37 |
| 60 - 70 | 40 |
| 70 - 80 | 29 |
| 80 - 90 | 14 |
| 90 - 100 | 6 |
Draw an ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. Using the graph, determine :
(i) The median marks
(ii) The number of students who failed if minimum marks required to pass is 40.
(iii) If scoring 85 and more marks is considered as grade one, find the number of students who secured grade one in the examination.
Related Questions
The daily wages of 80 workers in a project are given below :
Wages (in ₹) No. of workers 400 - 450 2 450 - 500 6 500 - 550 12 550 - 600 18 600 - 650 24 650 - 700 13 700 - 750 5 Use a graph paper to draw an ogive for the above distribution. (Use a scale of 2 cm = ₹ 50 on x-axis and 2 cm = 10 workers on y-axis). Use your ogive to estimate :
(i) the median wage of the workers.
(ii) the lower quartile wage of the workers.
(iii) the number of workers who earn more than ₹625 daily.
The table shows the distribution of scores obtained by 160 shooters in a shooting competition. Use a graph sheet and draw an ogive for the distribution.
(Take 2 cm = 10 scores on the x-axis and 2 cm = 20 shooters on the y-axis)
Scores No. of shooters 0 - 10 9 10 - 20 13 20 - 30 20 30 - 40 26 40 - 50 30 50 - 60 22 60 - 70 15 70 - 80 10 80 - 90 8 90 - 100 7 Use your graph to estimate the following :
(i) The median.
(ii) The inter quartile range.
(iii) The number of shooters who obtained a score of more than 85%.
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.
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.