Mathematics
Using the data given below construct the cumulative frequency table and draw the ogive. From the ogive, determine the median.
| Marks | No. of students |
|---|---|
| 0 - 10 | 3 |
| 10 - 20 | 8 |
| 20 - 30 | 12 |
| 30 - 40 | 14 |
| 40 - 50 | 10 |
| 50 - 60 | 6 |
| 60 - 70 | 5 |
| 70 - 80 | 2 |
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%.
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.
The weight of 50 workers is given below :
Weight (in kg) No. of workers 50 - 60 4 60 - 70 7 70 - 80 11 80 - 90 14 90 - 100 6 100 - 110 5 110 - 120 3 Draw an ogive of the given distribution using a graph sheet. Take 2 cm = 10 kg on one axis and 2 cm = 5 workers along the other axis. Use a graph to estimate the following :
(i) the upper and lower quartiles.
(ii) if weighing 95 kg and above is considered overweight find the number of workers who are overweight.