Question

Calculate the percent error

1. Jerri estimates that 30 people would attend the dinner event but only 25 people attended.

2. Gene estimated the length of the fence to be 150 feet, but the actual measurement was 142 feet.

Answer 1

Therefore, the percent error in 1. 20%

and the percent error in 2. 6%

Explanation:

Given:

1. In estimation of 30 people only 25 people attended.

2. In estimated length of 150 feet the measurement was 142 feet.

Now, in first case for the percent error we would calculate the difference between the people attended:

`30-25=5`

And then, we will get the percentage error :

`(5)/(25) * 100`

`(500)/(25)`
`=20`.

Therefore, the percentage error is 20%.

Now, in second case for the percent error we would repeat the above process as done in first case:

`150-142=8`

And then:

`(8)/(142)* 100`

`(800)/(142)`
`=5.63`

Therefore, the percentage error is 6% (approximately).

Therefore, the percent error in 1. is 20%

and the percent error in 2. is 6%