Mathematics
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.
Related Questions
Draw a cumulative frequency curve for the following data :
Marks obtained No. of students 24 - 29 1 29 - 34 2 34 - 39 5 39 - 44 6 44 - 49 4 49 - 54 3 54 - 59 2 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 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%.
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.