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प्रश्न
Which of the following has the same mean, median and mode?
पर्याय
6, 2, 5, 4, 3, 4, 1
4, 2, 2, 1, 3, 2, 3
2, 3, 7, 3, 8, 3, 2
4, 3, 4, 3, 4, 6, 4
उत्तर
4, 3, 4, 3, 4, 6, 4
Explanation:
Mean of the given data = `(4 + 3 + 4 + 3 + 4 + 6 + 4)/7` = 4
Mode is the observation that occurs most frequently in the data i.e. 4
When the given data is arranged in ascending (or descending) order, then the middle most observation is the median of the data
Arranging the given data, 3, 3, 4, 4, 4, 4, 6
So, the median is 4.
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संबंधित प्रश्न
Calculate the mean of the following distribution using step deviation method.
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 |
| Number of students |
10 | 9 | 25 | 0 | 16 | 10 |
Using a graph paper draw a histogram of the given distribution showing the number of runs scored by 50 batsmen. Estimate the mode of the data:
| Runs scored |
3000- 4000 |
4000- 5000 |
5000- 6000 |
6000- 7000 |
7000- 8000 |
8000- 9000 |
9000- 10000 |
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4 | 18 | 9 | 6 | 7 | 2 | 4 |
The following distribution represents the height of 160 students of a school.
| Height (in cm) | No. of Students |
| 140 – 145 | 12 |
| 145 – 150 | 20 |
| 150 – 155 | 30 |
| 155 – 160 | 38 |
| 160 – 165 | 24 |
| 165 – 170 | 16 |
| 170 – 175 | 12 |
| 175 – 180 | 8 |
Draw an ogive for the given distribution taking 2 cm = 5 cm of height on one axis and 2 cm = 20 students on the other axis. Using the graph, determine:
- The median height.
- The interquartile range.
- The number of students whose height is above 172 cm.
1) Using step–deviation method, calculate the mean marks of the following distribution.
2) State the modal class.
| Class Interval | 50 - 55 | 55 - 60 | 60 - 65 | 65 - 70 | 70 - 75 | 75 - 80 | 80 - 85 | 85 – 90 |
| Frequency | 5 | 20 | 10 | 10 | 9 | 6 | 12 | 8 |
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| Number of Days | 5 | 2 | 7 | 9 | 2 | 5 |
Draw a histogram for the following distribution and estimate the mode:
| I.Q. Score | 80-100 | 100-120 | 120-140 | 140-160 | 160-180 | 180-200 |
| No. of Students | 6 | 9 | 16 | 13 | 4 | 2 |
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| Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Frequency | 4 | 12 | 21 | 18 | 15 | 7 | 3 |
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