Average of 50 observations was calculated as 23. Three observations 19, 33 and 66 were wrongly taken as 30, 38 and 69. What will be the correct average?

Correct option is C

Given:
Average of 50 observations = 23
Incorrect observations = 30, 38, 69
Correct observations = 19, 33, 66
Formula Used:
Sum of observations = Average  $$\times$$​ Number of Observations
Corrected sum = Initial sum Incorrect observations + Correct observations
Correct average = Corrected sum / Number of Observations
Solution:
Initial sum of observations = 23 $$\times$$​ 50 = 1150
Sum of incorrect observations = 30 + 38 + 69 = 137
Sum of correct observations = 19 + 33 + 66 = 118
Corrected sum = 1150 137 + 118 = 1131
Correct average =$$\frac{1131}{50}$$​ = 22.62
Thus, the correct average is 22.62.