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A curious student of Statistics calculat...

A curious student of Statistics calculated the average height of all the students of his class as A. He also calculated the average of the average heights of all the possible pairs of students (two students taken at a time) as B. Further, he calculated the average of the average heights of all the possible triplets of students (three students taken at a time) as C. Which of the following is true of the relationship among A, B and C?

A

`A + 2 B = C`

B

`A + B = 2C`

C

`A = B = 3C`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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DISHA PUBLICATION-AVERAGES-Practice Exercises (Foundation Level)
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  5. A train travels with a speed of 20 m/s in the first 10 minutes, goes 8...

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  6. Find the average increase rate if increase in the population in the fi...

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  7. Find the average weight of four containers, if it is known that the we...

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  8. Read the information given below and answer the questions that follow ...

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  9. Read the information given below and answer the questions that follow ...

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  10. Read the information given below and answer the questions that follow ...

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  11. Eight years ago there were 5 members in the Arthur's family and then t...

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  12. Eight years ago there were 5 members in the Arthur's family and then t...

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  13. Eight years ago there were 5 members in the Arthur's family and then t...

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  14. The average age of a committee of 11 persons increases by 2 yr when 3 ...

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  15. A school has only four classes that contain 10,20,30 and 40 students r...

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  16. Find the average of f(x), g(x), h(x), d(x) at x=10. f(x) is equal to x...

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  17. The average of 'n' numbers is z. If the number x is replaced by the nu...

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  18. The average expenditure of a man for the first five months of a year i...

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  19. A curious student of Statistics calculated the average height of all t...

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  20. We write down all the digits from 1-9 side by side. Now we put '+' bet...

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