Calculate the Correct Values of Two Items
What was the mean of 100 atoms?
The mean of 100 atoms was found to be 300.
What were the incorrect values taken as?
Two items were wrongly taken as 32 and 12 instead of __________.
1: 32 and 12
2: 132 and 112
3: 320 and 210
4: 23 and 21
Final answer: 32 and 12
Correct Values Calculation
The mean of 100 atoms was found to be 300, but two items were taken wrongly. The correct values of the two items are 306.
When dealing with data and calculations, it is crucial to double-check the values to ensure accuracy. In this scenario, the mean of 100 atoms was calculated to be 300. However, two items were mistakenly taken as 32 and 12 instead of their correct values, which led to an incorrect sum.
To rectify this error, the correct sum of all the 100 atoms needed to be calculated by first multiplying the mean (300) by the total number of atoms (100), resulting in a sum of 30,000. Next, the sum of the incorrect values (32 + 12) needed to be subtracted from the correct sum (30,000) to determine the sum of the remaining 98 correct numbers, which equated to 29,956.
By dividing this corrected sum by the remaining 98 numbers, the accurate mean of the atoms was calculated to be 306. This process showcases the importance of precision in calculations and the impact of even small errors on the final outcome.