Mathematics
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.
Related Questions
The numbers 6, 8, 10, 12, 13 and x are arranged in an ascending order. If the mean of the observations is equal to the median, find the value of x.
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 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.
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 ?