The mean of 100 observations was found to be 40. Later on, it was discovered that two items werewrongly taken as 30 and 27 instead of 3 and 72. Find correct mean.
Question
The mean of 100 observations was found to be 40. Later on, it was discovered that two items werewrongly taken as 30 and 27 instead of 3 and 72. Find correct mean.
Solution
Sure, here are the steps to find the correct mean:
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First, calculate the total sum of the original 100 observations. Since the mean was 40, the total sum would be 40 * 100 = 4000.
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Then, subtract the wrongly taken items from the total sum. So, 4000 - 30 - 27 = 3943.
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Now, add the correct items to the total sum. So, 3943 + 3 + 72 = 4018.
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Finally, calculate the correct mean by dividing the corrected total sum by the number of observations. So, 4018 / 100 = 40.18.
So, the correct mean of the observations is 40.18.
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