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प्रश्न
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 |
उत्तर
| Marks Obtained (x) | No. of Students (f) | c.f | fx |
| 5 | 3 | 3 | 15 |
| 6 | 9 | 12 | 54 |
| 7 | 6 | 18 | 42 |
| 8 | 4 | 22 | 32 |
| 9 | 2 | 24 | 18 |
| 10 | 1 | 25 | 10 |
| `sumf = 25` | `sum fx = 171` |
Mean barX = `(sum fx)/(sumf) = 171/25 = 6.84`
Median = `(25 + 1)/2` th term = 13 th term = 7
Since the number 6 has maximum frequency 9
∴ Mode = 6
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संबंधित प्रश्न
The ages of 40 students are given in the following table :
| Age (in years) | 12 | 13 | 14 | 15 | 16 | 17 | 18 |
| Frequency | 2 | 4 | 6 | 9 | 8 | 7 | 4 |
Find the arithmetic mean.
Find the median and mode for the set of numbers:
2, 2, 3, 5, 5, 5, 6, 8 and 9
Find the mean of the following frequency distribution by the short cut method :
| Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 |
| Frequency | 9 | 12 | 15 | 10 | 14 |
Draw a histogram for the following distribution and estimate the mode:
| Marks% | 30-39 | 40-49 | 50-59 | 60-69 | 70-79 | 80-89 | 90-99 |
| No. of students | 14 | 26 | 40 | 92 | 114 | 78 | 36 |
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.
Find the mean of: all prime numbers upto 30
Find the mean and the median of: 1.2, 1.9, 2.2, 2.6 and 2.9
Find the median of the data: 24, 36, 46, 17, 18, 25, 35
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
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.
