While calculating the mean of 100 students was found to be 40 but when examined by another person it was found that number 53 was taken as 83.Find the correct mean
(100*40+(53-83))/100 = 39.7
To find the correct mean, we need to adjust the incorrect data point and recalculate the mean.
First, let's calculate the total sum of the 100 student scores. We know that the mean is calculated by dividing the sum of the scores by the number of students.
So, if the mean of 100 students is 40, we can calculate the initial sum as follows:
Total sum = Mean x Number of students
Total sum = 40 x 100
Total sum = 4000
Now, since we know that the value of 53 was recorded as 83, we need to adjust the total sum accordingly. We subtract the incorrect value (83) and add the correct value (53) to the total sum:
Corrected sum = Total sum - Incorrect value + Correct value
Corrected sum = 4000 - 83 + 53
Corrected sum = 3970
Finally, we can find the correct mean by dividing the corrected sum by the number of students:
Correct mean = Corrected sum / Number of students
Correct mean = 3970 / 100
Correct mean = 39.7
Hence, the correct mean is 39.7.