Question

A research student measured the age of an ice layer at 70 m depth as 425 years. The accepted value reported is 427 years. What is the percent error of students value?

Answer 1

0.47%.

Explanation:

We have been given that a research student measured the age of an ice layer at 70 m depth as 425 years. The accepted value reported is 427 years.

We will use error percent formula to solve our given problem.

`\text{Error percentage}=\frac{|\text{Approx value}-\text{Exact value}|}{\text{Exact value}}* 100`

`\text{Error percentage}=(|425-427|)/(427)* 100`

`\text{Error percentage}=(|-2|)/(427)* 100`

`\text{Error percentage}=(2)/(427)* 100`

`\text{Error percentage}=0.0046838407494145* 100`

`\text{Error percentage}=0.46838407494145`

Rounding to two decimal places:

`\text{Error percentage}\approx 0.47`

Therefore, the percent error of students value is approximately 0.47%.