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.
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 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.