Question

Lucy estimated the weight of her mountain bike to be 11 kg. The actual weight of her mountain bike was 12.3 kg.

Find the absolute error and the percent error Lucy's estimate. If necessary, round your answers to the nearest tenth.

Answer 1

Absolute error = 1.3 kg

Percent error = 10.56 %

Explanation:

Real weight of the mountain bike = 12.3 kg.

Weight of mountain bike estimated by Lucy = 11 kg .

Now,

Error in the weight estimated = Actual weight of the bike - Estimated

weight of bike by Lucy .

= 12.3 - 11 kg

= 1.3 kg.

Thus , Absolute Error in estimation = 1.3 kg.

Now,

Percent error in the estimation of weight =
`(Absolute error )/(Real weight )`×100

= 10.56%

So , Percent error in the measurement = 10.56 %