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The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded,then the average of the remaining numbers is nearly
  • a)
    29.27
  • b)
    28.32
  • c)
    29.68
  • d)
    28.78
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The average of 50 numbers is 30. If two numbers, 35 and 40 are discard...
Given Information:
- Average of 50 numbers is 30.
- Two numbers, 35 and 40, are discarded.

To find:
The average of the remaining numbers.

Solution:
Step 1: Calculate the sum of the 50 numbers.
Since the average of the 50 numbers is 30, we can multiply the average by the total number of numbers to find the sum.
Sum of the 50 numbers = 30 * 50 = 1500.

Step 2: Calculate the sum of the remaining numbers.
Since we discarded two numbers, the sum of the remaining numbers will be the sum of the 50 numbers minus the sum of the discarded numbers.
Sum of the remaining numbers = 1500 - (35 + 40) = 1500 - 75 = 1425.

Step 3: Calculate the average of the remaining numbers.
To find the average, we divide the sum of the remaining numbers by the total number of remaining numbers.
Since we discarded two numbers, the total number of remaining numbers is 50 - 2 = 48.
Average of the remaining numbers = 1425 / 48 ≈ 29.6875.

Therefore, the average of the remaining numbers is nearly 29.68.

Conclusion:
The correct answer is option C) 29.68.
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The average of 50 numbers is 30. If two numbers, 35 and 40 are discarded,then the average of the remaining numbers is nearlya) 29.27 b) 28.32 c) 29.68 d) 28.78 Correct answer is option 'C'. Can you explain this answer?
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