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प्रश्न
Which of the following has the same mean, median and mode?
विकल्प
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
Find the mean of the following distribution by step deviation method:
| Class Interval | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| Frequency | 10 | 6 | 8 | 12 | 5 | 9 |
The mean of the number 6, ‘y’, 7, ‘x’ and 14 is 8. Express ‘y’ in terms of ‘x’.
A mathematics aptitude test of 50 students was recored as follows:
| Marks | No. of students |
| 50-60 | 4 |
| 60-70 | 8 |
| 70-80 | 14 |
| 80-90 | 19 |
| 90-100 | 5 |
Draw a histrogram for the above data using a graph paper and locate the mode.
The mean monthly income of 10 persons is Rs 8,670. If a new member with a monthly income of Rs 9, 000 joins the group, find the new monthly income.
Find the mode of the following:
15, 17, 16, 17, 10, 12, 14, 16, 19, 12, 16, 15, 16
Find the mode of the following:
20, 20, 30, 30, 30, 30, 35, 40, 40, 45, 45, 45, 50, 55, 60, 60, 60 ,65, 70, 70, 70
The weights of 11 students in a class are 36 kg, 45 kg, 44 kg, 37 kg, 36 kg, 41 kg, 45 kg, 43 kg, 39 kg, 42 kg and 40 kg. Find the median of their weights.
Mean of 5 numbers is 20 and the mean of the other 5 numbers is 30. Find the mean of all the 10 numbers taken together.
Find the mean of: first six even natural numbers
If the extreme observations on both the ends of a data arranged in ascending order are removed, the median gets affected.
