Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of Jocelyn’s estimate?

1 answer

To calculate the percent error, we first need to find the difference between the estimated and actual measurements:

Actual measurement: 5.62 cm
Estimated measurement: 5.5 cm

Difference = Actual - Estimated
Difference = 5.62 cm - 5.5 cm
Difference = 0.12 cm

Next, we need to calculate the percent error using the formula:

Percent Error = (|Error| / Actual) x 100

Substitute the values into the formula:

Percent Error = (|0.12| / 5.62) x 100
Percent Error = (0.12 / 5.62) x 100
Percent Error = 0.0213 x 100
Percent Error = 2.13%

Therefore, the percent error of Jocelyn's estimate is 2.13%.