Average of 11 numbers is 10.5; If one of the number 9 is deleted, then the average of the remaining numbers is
- 10.1
- 10.5
- 9.5
- 10.65
The Correct Option is D
Solution and Explanation
To solve the problem, we need to find the new average after removing one number from a group of 11 numbers whose average is 10.5.
1. Calculating the Total Sum of 11 Numbers:
Average = Total Sum / Number of items
So, Total Sum = Average × Number of items = \( 10.5 \times 11 = 115.5 \)
2. Subtracting the Deleted Number:
One of the numbers is 9, which is deleted.
New Total Sum = \( 115.5 - 9 = 106.5 \)
3. Calculating the New Average:
Now, there are 10 numbers remaining.
New Average = Total Sum / Number of items = \( \frac{106.5}{10} = 10.65 \)
Final Answer:
The new average of the remaining numbers is 10.65.
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