Advertisements
Advertisements
प्रश्न
Find the median of the given data:
14, −3, 0, −2, −8, 13, −1, 7
उत्तर
Arranging the data is ascending order: −8, −3, −2, −1, 0, 7, 13, 14
Here number of data n = 8, even
∴ Median = `1/2{("n"/2)^"th" "term" + ("n"/2 + 1)^"th" "term"}`
= `1/2{(8/2)^"th" "term" + (8/2 + 1)^"th" "term"}`
= `1/2{4^"th" "term" + 5^"th" "term"}`
= `1/2{-1 + 0}`
= `1/2(-1)`
= − 0.5
∴ Median = – 0.5
APPEARS IN
संबंधित प्रश्न
Find the median and mode for the set of numbers:
2, 2, 3, 5, 5, 5, 6, 8 and 9
find the mean for the following frequency distribution:
| C.I | 0-50 | 50-100 | 100-150 | 150-200 | 200-250 | 250-300 |
| Freq | 4 | 8 | 16 | 13 | 6 | 3 |
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 | 5 | 6 | 7 | 8 | 9 | 10 |
| No. of students | 3 | 9 | 6 | 4 | 2 | 1 |
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.
If the mean of 11 , 14 , p , 26 , 10 , 12 , 18 , 6 is 15, find p.
Find the mode of the following frequency distribution:
| Variate | 20 | 21 | 22 | 23 | 24 | 25 | 26 |
| Frequency | 21 | 20 | 26 | 35 | 22 | 13 | 10 |
The marks of 200 students in a test is given below :
| Marks% | 10-19 | 20-29 | 30-39 | 40-49 | 50-59 | 60-69 | 70-79 | 80-89 |
| No. of Students | 7 | 11 | 20 | 46 | 57 | 37 | 15 | 7 |
Draw an ogive and find
(i) the median
(ii) the number of students who scored more than 35% marks
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
| Age( in yrs) | Under 10 | Under 20 | Under 30 | Under 40 | Under 50 | Under 60 |
| No. of males | 6 | 10 | 25 | 32 | 43 | 50 |
If the mean of 8, 10, 7, x + 2 and 6 is 9, find the value of x.
The following data has been arranged in ascending order.
0, 1, 2, 3, x + 1, x + 5, 20, 21, 26, 29.
Find the value of x, if the median is 5.
