Mathematics
The distribution given below, shows the marks obtained by 25 students in an aptitude test. Find the mean, median and mode of the distribution.
| Marks obtained | No. of students |
|---|---|
| 5 | 3 |
| 6 | 9 |
| 7 | 6 |
| 8 | 4 |
| 9 | 2 |
| 10 | 1 |
Related Questions
Using a graph paper, draw an ogive for the following distribution which shows a record of the weight in kilograms of 200 students.
Weight Frequency 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 ?
The marks obtained by 120 students in a Mathematics test are given below :
Marks No. of students 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 Draw an ogive for the given distribution on a graph sheet. Use a suitable scale for your ogive. Use your ogive to estimate :
(i) the median
(ii) the number of students who obtained more than 75% marks in a test ?
(iii) the number of students who did not pass in the test if the pass percentage was 40?
(iv) the lower quartile.
The monthly income of a group of 320 employees in a company is given below :
Monthly income No. of employees 6 - 7 20 7 - 8 45 8 - 9 65 9 - 10 95 10 - 11 60 11 - 12 30 12 - 13 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.
The median of the observations 11, 12, 14, (x - 2), (x + 4), (x + 9), 32, 38, 47 are arranged in ascending order is 24. Find the value of x and hence find the mean.