A laboratory instructure gives a sample of Amino-powder to each if four students,1,2,3 and 4,and they weigh the samples.The true value is 8.72g.Their results for three trails are (1),8.72g,8.74g,8.70g (2),8.56g,8.77g,8.83g (3),8.50g,8.48g,8.51g (4),8.41g,8.72g,8.55g
(A)calculate the average mass from each set of data,and tell which set is the most accurate.
To calculate the average mass from each set of data, you need to sum up the measurements and then divide the sum by the total number of measurements. Let's calculate the average mass for each set of data:
Set 1 average mass: (8.72g + 8.74g + 8.7g) / 3 = 8.72g
Set 2 average mass: (8.56g + 8.77g + 8.83g) / 3 = 8.72g
Set 3 average mass: (8.50g + 8.48g + 8.51g) / 3 = 8.5g
Set 4 average mass: (8.41g + 8.72g + 8.55g) / 3 = 8.56g
Now, we need to determine which set of data is the most accurate. Accuracy refers to how close the measurements are to the true value, which in this case is 8.72g.
Comparing the average masses to the true value, we can see that:
Set 1: Average mass = 8.72g (matches the true value)
Set 2: Average mass = 8.72g (matches the true value)
Set 3: Average mass = 8.5g (deviates from the true value by -0.22g)
Set 4: Average mass = 8.56g (deviates from the true value by -0.16g)
Since Sets 1 and 2 have average masses that match the true value, they can be considered the most accurate sets of data.