Emily and alina measure the volume of an object six times and got the following results 29.3. mL , 34.7 mL , 27.9mL, 30 mL, 31.5 mL and 31.5 mL. The actual volume is 34.1 mL find the percentage error round to the nearest whole number
Percentage error equals blank percent
To find the percentage error, we need to first calculate the difference between the measured value and the actual value, and then divide it by the actual value. Finally, we multiply by 100 to find the percentage.
For Emily:
Measured volume = 29.3 mL
Difference = 34.1 mL - 29.3 mL = 4.8 mL
Percentage error = (4.8 mL / 34.1 mL) * 100 = 14.0%
For Alina:
Measured volume = 34.7 mL
Difference = 34.1 mL - 34.7 mL = -0.6 mL
Percentage error = (-0.6 mL / 34.1 mL) * 100 = -1.8%
Note: A negative percentage error means that the measured value is lower than the actual value.
Now, let's calculate the average percentage error:
Average percentage error = (14.0% + (-1.8%)) / 2 = 6.1%
Rounded to the nearest whole number, the percentage error is 6%.