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प्रश्न
Marks obtained (in mathematics) by 9 student are given below:
60, 67, 52, 76, 50, 51, 74, 45 and 56
if marks of each student be increased by 4; what will be the new value of arithmetic mean.
उत्तर
If marks of each student be incresed by 4 then new arithmetic mean will be = 59+4=63
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संबंधित प्रश्न
The following table gives the weekly wages of workers in a factory.
| Weekly wages (Rs) | No. of workers |
| 50 – 55 | 5 |
| 55 – 60 | 20 |
| 60 – 65 | 10 |
| 65 – 70 | 10 |
| 70 – 75 | 9 |
| 75 – 80 | 6 |
| 80 – 85 | 12 |
| 85 – 90 | 8 |
Calculate the mean by using:
Short-cut method
The monthly income of a group of 320 employees in a company is given below:
| Monthly income (thousands) | 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 distribution on a graph paper taking 2 cm = Rs. 1000 on one axis and 2 cm = 50 employees on the other axis. From the graph detemine:
- the median wage.
- number of employee whose income is below Rs. 8,500.
- If salary of a senior employee is above Rs. 11,500, find the number of senior employee in the company.
- the upper quartile.
Find the median of the following frequency distribution :
| Weight(kg) | 36 | 38 | 40 | 42 | 44 |
| No. of students | 11 | 26 | 29 | 24 | 10 |
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
| Marks(more than) | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |
| No. of students | 6 | 13 | 22 | 34 | 48 | 60 | 70 | 78 | 80 | 80 |
The mean of a certain number of observations is 32. Find the resulting mean, if the observation is, divided by 0.5
Find the median of 5, 7, 9, 11, 15, 17, 2, 23 and 19.
Find the median of 3.2, 4.8, 5.6, 5.6, 7.3, 8.9 and 9.1
3, 8, 10, x, 14, 16, 18, 20 are in the ascending order and their median is 13. Calculate the numerical value of x.
Given below are heights of 15 boys of a class measured in cm:
128, 144, 146, 143, 136, 142, 138, 129, 140, 152, 144, 140, 150, 142, 154
Find the median height of the boys.
The marks of 200 students in a test were recorded as follows:
| Marks % |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| No. of students |
5 | 7 | 11 | 20 | 40 | 52 | 36 | 15 | 9 | 5 |
Using graph sheet draw ogive for the given data and use it to find the,
- median,
- number of students who obtained more than 65% marks
- number of students who did not pass, if the pass percentage was 35.
