The mean of 40 numbers is 37.5. If one of these numbers is taken as 53 instead of 35, then the correct mean is ________________
Question
The mean of 40 numbers is 37.5. If one of these numbers is taken as 53 instead of 35, then the correct mean is ________________
Solution
To solve this problem, we need to follow these steps:
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First, we need to find the total sum of the 40 numbers. We do this by multiplying the mean by the number of values. So, 37.5 * 40 = 1500.
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Then, we need to correct the total sum by subtracting the incorrect value and adding the correct one. So, we subtract 35 and add 53 to the total sum. So, 1500 - 35 + 53 = 1518.
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Finally, we find the new mean by dividing the corrected total sum by the number of values. So, 1518 / 40 = 37.95.
So, the correct mean is 37.95.
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