The mean of the marks scored by 50 students was found to be 39. Later it was found that a score of 43 was written as 23. Find the correct mean.
Question
The mean of the marks scored by 50 students was found to be 39. Later it was found that a score of 43 was written as 23. Find the correct mean.
Solution
Sure, here are the steps to find the correct mean:
Step 1: First, calculate the total sum of the marks initially recorded. This can be done by multiplying the mean by the number of students. So, 39 (mean) * 50 (students) = 1950.
Step 2: Correct the error in the recorded marks. The score was recorded as 23 instead of 43, so the difference is 43 - 23 = 20.
Step 3: Add this difference to the total sum of the marks. So, 1950 (total sum) + 20 (difference) = 1970.
Step 4: Finally, calculate the correct mean by dividing the corrected total sum by the number of students. So, 1970 / 50 = 39.4.
Therefore, the correct mean is 39.4.
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