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प्रश्न
The marks of 20 students in a test were as follows:
2, 6, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19 and 20.
Calculate:
- the mean
- the median
- the mode
उत्तर
Arranging the terms in ascending order:
2, 6, 8, 9, 10, 11, 11, 12, 13, 13, 14, 14, 15, 15, 15, 16, 16, 18, 19, 20
Number of terms = 20
Σx = 2 + 6 + 8 + 9 + 10 + 11 + 11 + 12 + 13 + 13 + 14 + 14 + 15 + 15 + 15 + 16 + 16 + 18 + 19 + 20 = 257
i. Mean = `(∑x)/(∑n) = 257/20 = 12.85`
ii. Median = `(10^(th) term + 11^(th) term)/2`
= `(13 + 14)/2`
= `27/2`
= 13.5
iii. Mode = 15 as it has maximum frequencies i.e. 3
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संबंधित प्रश्न
Find the mode and the median of the following frequency distribution:
| x | 10 | 11 | 12 | 13 | 14 | 15 |
| f | 1 | 4 | 7 | 5 | 9 | 3 |
At a shooting competition the score of a competitor were as given below:
| Score | 0 | 1 | 2 | 3 | 4 | 5 |
| No. of shots | 0 | 3 | 6 | 4 | 7 | 5 |
- What was his modal score?
- What was his median score?
- What was his total score?
- What was his mean score?
Q 11
Find the mean of first 12 even numbers.
Estimate the median, the lower quartile and the upper quartile of the following frequency distribution by drawing an ogive:
| Marks | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| No. of boys | 10 | 12 | 14 | 12 | 9 | 7 | 6 |
Find the median of:
233, 173, 189, 208, 194, 204, 194, 185, 200 and 220.
Find the mean of: 5, 2.4, 6.2, 8.9, 4.1 and 3.4
Find the mean of: first eight natural numbers
Calculate the median of the following sets of number:
1, 9, 10, 8, 2, 4, 4, 3, 9, 1, 5, 6, 2 and 4.
The median of the data 12, 14, 23, 25, 34, 11, 42, 45, 32, 22, 44 is ___________
