### 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-

A. 0.5% B. 1.21% C. 1.34% D. 1.36% Answer: Option D

### Solution(By Apex Team)

\begin{array}{l}\text{Correct sum}\\ \text{= 36 × 100 + 90 – 40}\\ \text{= 3650}\\ \text{Correct average}\\ =\left(\Large\frac{3650}{100}\right)\\ \text{= 36.5}\\ \text{Error = (36.5 – 36) = 0.5}\\ \text{∴ Error %}\\ \begin{aligned}&=\left(\frac{0.5}{36.5}\times100\right)\%\\ &=\frac{100}{73}\%\\ &=1.36\%\end{aligned}\end{array}

## Related Questions On Average

A. 20
B. 21
C. 28
D. 32

A. 18
B. 20
C. 24
D. 30

A. 10 years
B. 10.5 years
C. 11 years
D. 12 years

### If the arithmetic mean of 0, 5, 4, 3 is a, that of -1, 0, 1, 5, 4, 3 is b and that of 5, 4, 3 is c, then the relation between a, b, and c is.

A. a = b = c
B. a : b : c = 3 : 2 : 4
C. 4a = 5b = c
D. a + b + c = 12