The 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?Options29.52929.829.9
Question
The 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?Options29.52929.829.9
Solution
The first step is to calculate the total sum of the 100 items. Since the average is 30, the total sum would be 30 * 100 = 3000.
The next step is to correct the wrongly taken items. The sum of the wrongly taken items is 32 + 12 = 44. The sum of the correct items is 23 + 11 = 34.
Now, subtract the sum of the wrongly taken items from the total sum and add the sum of the correct items. This gives the correct total sum: 3000 - 44 + 34 = 2990.
Finally, calculate the correct average by dividing the correct total sum by the number of items. The correct average is 2990 / 100 = 29.9. So, the correct average is 29.9.
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