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.
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%.