Mathematics
The daily wages of 80 workers in a project are given below:
| Wages (in ₹) | Number 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.
Related Questions
Marks obtained by 200 students in an examination are given below:
Marks Number of students 0 - 10 5 10 - 20 10 20 - 30 14 30 - 40 21 40 - 50 25 50 - 60 34 60 - 70 36 70 - 80 27 80 - 90 16 90 - 100 12 Draw an ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on other axis. From the graph, find:
(i) the median
(ii) the upper-quartile
(iii) number of students scoring more than 65 marks
(iv) if 10 students qualify for merit-scholarship, find the minimum marks required to qualify.
The table below shows the distribution of the scores obtained by 120 shooters in shooting competition. Using a graph sheet, draw an ogive for the distribution.
Scores obtained Number of shooters 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 Use your ogive to estimate :
(i) the median
(ii) the inter-quartile range
(iii) the number of shooters who obtained more than 75% score.
Using a graph paper, draw an ogive for the following distribution which shows a record of the weight in kilograms of 200 students.
Weight (in kg) No. of students 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
(iii) the number of students who are (a) under weight and (b) Over-weight, if 55.70 kg is considered as standard weight.
Using a graph paper, draw an ogive for the distribution which shows the marks obtained on the General knowledge paper by 100 students.
Marks No. of students 0 - 10 5 10 - 20 10 20 - 30 20 30 - 40 25 40 - 50 15 50 - 60 12 60 - 70 9 70 - 80 4 Use the ogive to estimate:
(i) the median
(ii) the number of students whose score is above 65.