Mean of 10 numbers is 30. Later on it was observed that numbers 15, 23 are wrongly taken as 51, 32. The correct mean is :
A. 25.5
B. 32
C. 30
D. 34.5
Answer: Option A
Solution(By Examveda Team)
According to the question,Mean of 10 numbers is = 30
∴ Sum of 10 numbers is = 300
It was observed that numbers 15, 23 are wrongly taken as 51, 32
Difference
= (51 + 32) - (15 + 23)
= 83 - 38
= 45 (more)
∴ Actual sum of 10 numbers
= 300 - 45 = 255
∴ Actual average of 10 numbers
= $$\frac{255}{10}$$ = 25.5
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