While checking the value of 20 observations, it was noted that 125 was wrongly noted as 25 while calculating the mean and then the mean was 60. Find the correct mean
Question
While checking the value of 20 observations, it was noted that 125 was wrongly noted as 25 while calculating the mean and then the mean was 60. Find the correct mean
Solution
Sure, here are the steps to find the correct mean:
Step 1: First, calculate the total sum of the 20 observations. Since the mean was 60, the total sum would be 60 * 20 = 1200.
Step 2: Now, correct the wrongly noted observation. The observation was noted as 25 but it should have been 125. So, the difference is 125 - 25 = 100.
Step 3: Add this difference to the total sum of the observations. So, the corrected total sum is 1200 + 100 = 1300.
Step 4: Now, calculate the correct mean. The mean is the total sum divided by the number of observations. So, the correct mean is 1300 / 20 = 65.
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