Question

Trayvon enters a competition to guess how many balls are in a barrel.
Trayvon’s guess is 63 balls.
The actual number of balls is 60.

What is the percent error of Trayvon’s guess?

Answer 1

5% error

Step-by-step explanation:

% error = (estimation - actual value)/actual value * 100%

Trayvon's estimation is 63 and the actual value is 60, so our expression is:

(63 - 60)/60 * 100

63 - 60 = 3, so we get:

3/60 * 100

And 3/60 = 0.05, so now we have:

0.05 * 100 = 5

Answer 2

The percent error of Trayvon’s guess is 5%

What is the absolute error?

"It is the absolute difference between an observed value and the actual value."

What is the relative error?

"It is the ratio of the absolute error of the measurement to the actual value."

What is the percent error?

"It is the relative error multiplied by 100."

For given example.

Trayvon’s guess is 63 balls.

$V_o=63$

The actual number of balls is 60.

$V_A=60$

The absolute error is,

$\Rightarrow A=|V_o-V_A|\\\\\Rightarrow A=|63-60|\\\\\Rightarrow A=3$

The relative error is,

$\Rightarrow R=\frac{A}{V_A} \\\\\Rightarrow R=\frac{3}{60}\\\\ \Rightarrow R=0.05$

The percent error is,

$\Rightarrow P=R\times 100\\\\\Rightarrow P=0.05\times 100\\\\\Rightarrow P=5\%$

Therefore, the percent error of Trayvon’s guess is 5%

Learn more about the percent error here:

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