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, we know that 125 was wrongly noted as 25. So, the total sum of the observations considering the wrong value is 1200.
Step 3: To find the total sum of the observations considering the correct value, we need to add the difference of the wrong and the correct value to the total sum. The difference is 125 - 25 = 100. So, the correct total sum is 1200 + 100 = 1300.
Step 4: Now, calculate the correct mean by dividing the correct total sum by the number of observations. So, the correct mean is 1300 / 20 = 65.
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