Advertisements
Advertisements
प्रश्न
The frequency distribution table below shows the height of 50 students of grade 10.
| Heights (in cm) | 138 | 139 | 140 | 141 | 142 |
| Frequency | 6 | 11 | 16 | 10 | 7 |
Find the median, the upper quartile and the lower quartile of the heights.
उत्तर
| Height (in cm) | Frequency (f) | Cumulative frequency |
| 138 | 6 | 6 |
| 139 | 11 | 17 |
| 140 | 16 | 33 |
| 141 | 10 | 43 |
| 142 | 7 | 50 |
No. of terms = 50
The mean of 25th and 26th term is the median
25th and 26th terms lay under 140 and 140
median = `(140 + 140)/2 = 140`
Hence, Median = 140
Upper Quartile (Q3) = `(n xx 3)/4 = (50 xx 3)/4` = 37.5th term = 141
Lower Quartile (Q1) = `n/4 = 50/4` = 12.5th term = 139
Upper Quartile = 141 and Lower Quartile = 139
APPEARS IN
संबंधित प्रश्न
- Find the mean of 7, 11, 6, 5 and 6.
- If each number given in (a) is diminished by 2; find the new value of mean.
If the mean of the following observations is 54, find the value of p.
| Class | 0 – 20 | 20 – 40 | 40 – 60 | 60 – 80 | 80 – 100 |
| Frequency | 7 | p | 10 | 9 | 13 |
Draw a histogram for the following distribution and estimate the mode:
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| No. of students | 3 | 7 | 15 | 24 | 16 | 8 | 5 | 2 |
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
| Marks (less than) | 10 | 20 | 30 | 40 | 50 | 60 | 70 | 80 |
| No. of students | 5 | 15 | 30 | 54 | 72 | 86 | 94 | 100 |
The median of observations 10, 11, 13, 17, x + 5, 20, 22, 24 and 53 (arranged in ascending order) is 18; find the value of x.
Out of 10 students, who appeared in a test, three secured less than 30 marks and 3 secured more than 75 marks. The marks secured by the remaining 4 students are 35, 48, 66 and 40. Find the median score of the whole group.
The mean of a certain number of observations is 32. Find the resulting mean, if the observation is, increased by 60%.
Find the mean and the median of: 0.5, 5.6, 3.8, 4.9, 2.7 and 4.4
A boy scored the following marks in various class tests during a term, each test being marked out of 20.
15, 17, 16, 7, 10, 12, 14, 16, 19, 12, 16
What is his median marks?
The number of goals scored by a football team is given below. Find the mode and median for the data of 2, 3, 2, 4, 6, 1, 3, 2, 4, 1, 6
