Question

Daniel guesses that he scored a 95 on his science test. his actual score is 91. what is the percent error in daniel's guess? round your answer to the nearest tenth of a percent. enter your answer in the box.

Answer 1

Answer:

$\boxed{\boxed{\%\ error=4.4\%}}$

Step-by-step explanation:

Daniel guessed that he would score 95 on his science test, but his actual score was 91.

We know that,

$\%\ error=\dfrac{|\text{Expected value - True value}|}{\text{True value}}\times 100$

Here,

Expected value = 95

True value = 91

Putting the values,

$\%\ error=\dfrac{|\text{95 - 91}|}{\text{91}}\times 100\\\\=\dfrac{|\text{4}|}{\text{91}}\times 100\\\\=\dfrac{4}{\text{91}}\times 100\\\\=4.39\approx 4.4\%$

Answer 2

Percentage error = 95-91 / 95 * 100 = 400/95 = 4.21%

After rounding-off to nearest tenth, it would be 4.20%