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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)
    28.32
  • b)
    28.78
  • c)
    29.27
  • d)
    29.68
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average of 50 numbers is 30. If two numbers, 35 and 40 are discard...
Solution:

Given, average of 50 numbers = 30

Therefore, sum of 50 numbers = 50 x 30 = 1500

If two numbers, 35 and 40 are discarded, then the sum of remaining 48 numbers will be

1500 - 35 - 40 = 1425

The average of the remaining 48 numbers is

1425/48 = 29.6875

Therefore, the answer is option 'D'.

Explanation:

To find the average of a set of numbers, we need to divide the sum of the numbers by the total number of numbers.

In this case, we are given the average of 50 numbers. We can use this information to find the sum of the numbers.

Once we have the sum of the numbers, we can subtract the two numbers that are being discarded and find the sum of the remaining numbers.

Dividing the sum of the remaining numbers by the total number of remaining numbers will give us the new average.

Therefore, the answer is option 'D', which is 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)28.32b)28.78c)29.27d)29.68Correct answer is option 'D'. Can you explain this answer?
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