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प्रश्न
Calculate the Mean, Median and Mode of the following data:
5, 10, 10, 12, 13.
Are these three equal?
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उत्तर
Given data is 5, 10, 10, 12, 13.
Sum of all observations = 5 + 10 + 10 + 12 + 13 = 50
Number of observations = 5
Mean = `"Sum of all observations"/"Total observations" = 50/5` = 10
Here, n = 5 ...(Odd)
So, Median = Value of `((n + 1)/2)^(th)` observation
= Value of `((5 + 1)/2)^(th)` observation
= Value of 3rd observation = 10
Mode = Most frequent data = 10
Hence, Mean = Median = Mode
Yes, Mean, median and mode are equal.
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संबंधित प्रश्न
Following table shows the points of each player scored in four games:
| Player | Game 1 | Game 2 | Game 3 | Game 4 |
| A | 14 | 16 | 10 | 10 |
| B | 0 | 8 | 6 | 4 |
| C | 8 | 11 | Did not play | 13 |
Now answer the following questions:
- Find the mean to determine A’s average number of points scored per game.
- To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why?
- B played in all the four games. How would you find the mean?
- Who is the best performer?
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| Class | 0-20 | 20-40 | 40-60 | 60-80 | 80-100 |
| Frequency | 6 | 4 | 5 | 7 | 3 |
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No. of Families (frequency) `bb(f_i)` |
`bb(f_ix_i)` |
| 30 | 7 | _________ |
| 45 | 2 | __________ |
| 60 | 8 | __________ |
| 75 | 5 | __________ |
| 90 | 3 | __________ |
| N = _________ | `sum f_ix_i` = ______ |
- How many families use 45 units electricity?
- State the score, the frequency of which is 5.
- Find N, and `sum f_ix_i`
- Find the mean of electricity used by each family in the month of May.
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