Select the correct answerThe average of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average is?Options29.829.929.529
Question
Select the correct answerThe average of 100 items was found to be 30. If at the time of calculation, two items were wrongly taken as 32 and 12 instead of 23 and 11, then the correct average is?Options29.829.929.529
Solution
The correct average can be calculated by following these steps:
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First, calculate the total sum of the 100 items. Since the average was found to be 30, the total sum would be 30 * 100 = 3000.
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Then, subtract the wrongly taken items from the total sum. The wrongly taken items were 32 and 12, so subtract these from the total sum: 3000 - 32 - 12 = 2956.
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Now, add the correct items to the total sum. The correct items were 23 and 11, so add these to the total sum: 2956 + 23 + 11 = 2990.
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Finally, calculate the correct average by dividing the corrected total sum by the number of items. The correct average would be 2990 / 100 = 29.9.
So, the correct average is 29.9.
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