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प्रश्न
The number of Science and Mathematics projects submitted by Model high school, Nandpur in last 20 years at the state level science exibition is:
2, 3, 4, 1, 2, 3, 1, 5, 4, 2, 3, 1, 3, 5, 4, 3, 2, 2, 3, 2. Prepare a frequency table and find the mean of the data.
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उत्तर
The frequency table of the data is as follows:
| Number of projects `bb((x_i))` | Frequency `bb((f_i))` | `bb(f_ix_i)` |
| 1 | 3 | 1 x 3 = 3 |
| 2 | 6 | 2 x 6 = 12 |
| 3 | 6 | 3 x 6 = 18 |
| 4 | 3 | 4 x 3 = 12 |
| 5 | 2 | 5 x 2 = 10 |
| ∑f = 20 | `sum f_ix_i` = 55 |
Since the mean of the data = `(sum f_ix_i)/(sumf)"`
`= 55/20`
= 2.75
Hence, the mean of the data is 2.75.
संबंधित प्रश्न
The mean is one of the numbers in a data.
The mean of 5 observations is 50. One of the observations was removed from the data, hence the mean became 45. Find the observation which was removed.
The following table shows the number of saplings planted by 30 students. Fill in the boxes and find the average number of saplings planted by each student.
| No. of saplings (Scores) xi |
No. of students (frequency) fi |
fi x xi |
| 1 | 4 | 4 |
| 2 | 6 | `square` |
| 3 | 12 | `square` |
| 4 | 8 | `square` |
| N = `square` | ∑fixi = `square` |
Mean `bar "x"` = `square/"N"`
= `square/square`
= `square`
∴ The average number of trees planted `square`
The mean weight of 4 members of a family is 60 kg. Three of them have the weight 56 kg, 68 kg and 72 kg respectively. Find the weight of the fourth member
The mean of 5, 9, x, 17 and 21 is 13, then find the value of x
Ages of 15 students in 8th standard is 13, 12, 13, 14, 12, 13, 13, 14, 12, 13, 13, 14, 13, 12, 14. Find the mean age of the students
Let x, y, z be three observations. The mean of these observations is ______.
Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
If the arithmetic mean of 8, 4, x, 6, 2, 7 is 5, then the value of x is ______.
Mean of the observations can be lesser than each of the observations.
