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The average of 40 numbers is calculated as 25. But later, it is found that 3 numbers 23, 25, and 41 are mistakenly written as 32, 52, and 15 respectively. Find the correct average of numbers.
  • a)
    24.5
  • b)
    24.25
  • c)
    24
  • d)
    24.75
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The average of 40 numbers is calculated as 25. But later, it is found ...
GIVEN:
The average of 40 numbers = 25
CONCEPT:
Basic Average concept.
FORMULA USED:
Average = Sum of all numbers/Total numbers
CALCULATION:
Sum of numbers = 40 × 25 = 1000
23, 25 and 41 are mistakenly written as 32, 52 and 15 respectively.
⇒ Change in sum = (23 + 25 + 41) – (32 + 52 + 15)
= 89 – 99
= -10
Actual sum of numbers will be 10 less.
⇒ Sum of numbers = 1000 – 10 = 990
∴ Correct average = 990/40 = 24.75
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The average of 40 numbers is calculated as 25. But later, it is found that 3 numbers 23, 25, and 41 are mistakenly written as 32, 52, and 15 respectively. Find the correct average of numbers.a)24.5b)24.25c)24d)24.75Correct answer is option 'D'. Can you explain this answer?
Question Description
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