Mathematics
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.
Related Questions
Marks obtained by 200 students in an examination are given below:
Marks Number 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 1 cm = 10 marks on one axis and 2 cm = 20 students on 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.
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 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.
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.