The arithmetic mean of 100 numbers was computed as 89.05.It was later found that two numbers 92 and 83 have been misread as 192 and 33 respectively.What is the correct arithematic mean of numbers?70.5576.0288.5592.34
Question
The arithmetic mean of 100 numbers was computed as 89.05.It was later found that two numbers 92 and 83 have been misread as 192 and 33 respectively.What is the correct arithematic mean of numbers?70.5576.0288.5592.34
Solution
The first step is to calculate the total sum of the 100 numbers. This can be done by multiplying the arithmetic mean by the total number of values. So, 89.05 * 100 = 8905.
Next, we need to correct the total sum by subtracting the incorrect values and adding the correct ones. The incorrect values are 192 and 33, and the correct values are 92 and 83. So, the corrected total sum is 8905 - 192 - 33 + 92 + 83 = 8855.
Finally, we can find the correct arithmetic mean by dividing the corrected total sum by the total number of values. So, 8855 / 100 = 88.55.
Therefore, the correct arithmetic mean of the numbers is 88.55.
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