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The average of eight successive numbers is 6.5. The average of the smallest and the greatest numbers among them will be :
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- 4
- 6.5
- 7.5
- 9
- 4
Correct Option: B
Here , eight successive numbers are -
y , y + 1 , y + 2 , y + 3 , y + 4 , y + 5 , y + 6 , y + 7
As we know that ,
Sum of given terms = Average × total number of terms
y + y + 1 + y + 2 + y + 3 + y + 4 + y + 5 + y + 6 + y + 7 = 6.5 × 8 = 52
⇒ 8y + 28 = 52
⇒ 8y = 52 – 28 = 24
⇒ y = 3
| ∴ Required average = | = 6.5 | |
| 2 |
