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John's sister went shopping with him. She expected to spend $100 on clothes, but spent only $10. John wanted to help her calculate the percent error, but he thinks he may have made a mistake. Are his calculations below correct? Why or why not? Ratio = |$100 − $10| $90 = 10 90 ≈ 11%

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JeanaShupp

Answer: Yes, he applied formula incorrectly.

Step-by-step explanation:

The formula for percent error is given by :-

[tex]\text{Percent error}=\dfrac{|\text{expected value-actual value}|}{\text{actual value}}\times100[/tex]

Given : Expected value =  $100

Actual value = $10

Then,

[tex]\text{Percent error}=\dfrac{|100-10|}{\text{10}}\times100\\\\=\dfrac{90}{10}\times100=900\%\neq11\%[/tex]

So, Yes, the calculation did by him was incorrect .

Answer: Sample response: John’s calculations are not correct. He compared the exact value to the absolute error. The absolute error should be in the numerator and the exact value in the denominator.

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