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While calculating the average of a batsman as 36 in 100 matches that he played, one of the scores 90 was incorrectly noted as 40. The percentage error is-
Answer & Solution
Correct Answer:
Option
D
Correct sum
= 36 × 100 + 90 - 40
= 3650
Correct average
= $$\frac{3650}{100}$$
= 36.5
Error = (36.5 - 36) = 0.5
∴ Error %
= ( $$\frac{0.5}{36.5}$$ × 100 )%
= $$\frac{100}{73}$$%
= 1.36%
= 36 × 100 + 90 - 40
= 3650
Correct average
= $$\frac{3650}{100}$$
= 36.5
Error = (36.5 - 36) = 0.5
∴ Error %
= ( $$\frac{0.5}{36.5}$$ × 100 )%
= $$\frac{100}{73}$$%
= 1.36%
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