First, we need to find the absolute difference between each measured volume and the actual volume.
For all the measurements:
Absolute difference = |Measured Volume - Actual Volume|
So:
Absolute difference 1 = |29.3 mL - 34.1 mL| = 4.8 mL
Absolute difference 2 = |34.7 mL - 34.1 mL| = 0.6 mL
Absolute difference 3 = |27.9 mL - 34.1 mL| = 6.2 mL
Absolute difference 4 = |30 mL - 34.1 mL| = 4.1 mL
Absolute difference 5 = |32.6 mL - 34.1 mL| = 1.5 mL
Absolute difference 6 = |31.5 mL - 34.1 mL| = 2.6 mL
Now let's calculate the sum of these absolute differences:
Sum = Absolute difference 1 + Absolute difference 2 + Absolute difference 3 + Absolute difference 4 + Absolute difference 5 + Absolute difference 6
Sum = 4.8 mL + 0.6 mL + 6.2 mL + 4.1 mL + 1.5 mL + 2.6 mL
Sum = 19.8 mL
To find the percentage error, we use the following formula:
Percentage Error = (Sum / (Actual Volume * Number of Measurements)) * 100
Percentage Error = (19.8 mL / (34.1 mL * 6)) * 100
Percentage Error = (19.8 mL / 204.6 mL) * 100
Percentage Error ≈ 9.66
Therefore, the percentage error is approximately 10%.
Monique and Joshua measured the volume of an object 6 times and got the following results: 29.3 mL, 34.7 mL, 27.9 mL, 30 mL, 32.6 mL, and 31.5 mL. The actual volume is 34.1 mL. Find the percentage error. Round the answer to the nearest whole number.
1 answer