The average wage of a group of 50 workers was calculated as 40. Later on it was discovered that the wages of two workers were misread as 23 and 24, instead of 32 and 42. Calculate the collect average wage.
Answers
Answer:
The corrected average wage = Rs.40.54
Step-by-step explanation:
We know that:
Average = Sum of all observations / No. of observations
=> Sum of all observations = Average * No. of observations
Average wage of 50 workers = 40
=> Sum of wages of 50 workers = 40*50 = 2000
It was discovered that two wages were misread as 23 and 24, instead of 32 and 42.
Incorrect observations are: 23 and 24
Correct observations are: 32 and 42
To get the corrected sum of observations, we need to first remove the sum of incorrect observations and then add the sum of correct observations.
=> Corrected sum of wages of 50 workers = 2000 - (23+24) + (32+42)
=> Corrected sum of wages of 50 workers = 2000 - 47 + 74
=> Corrected sum of wages of 50 workers = 2027
=> Corrected average wage of 50 workers = 2027/50 = 40.54
The correct average wage is 40.54