Question

A product tester measures four different sizes of shampoo bottles to see if they are filled accurately. The table shows the results. Which sample had the least percent error? ..Will mark brainliest to first person!!

Answer 1

By comparing the percent error in all sample, the sample with least percent error is sample 2

Step-by-step explanation:

Percent error is calculated using the formula:

$Percent\ Error = \frac{|Approx\ Value- Exact\ Value|}{Exact\ Value}*100$

The percent error in each sample needs to be calculated to find the bottle with least percent error

Percent Error for Sample 1:

Amount on bottle = 14 ounces

Actual amount in bottle = 13.7 ounces

Putting the values in the formula

$Percent\ Error = E_1 = \frac{|13.7-14|}{14}*100\\= \frac{|-0.3|}{14}*100\\= \frac{0.3}{14}*100\\=0.214*100\\=2.14\%$

Percent Error for Sample 2:

Amount on bottle = 24 ounces

Actual amount in bottle = 24.4 ounces

Putting the values in the formula

$Percent\ Error = E_2 = \frac{|24.4-24|}{24}*100\\= \frac{|0.4|}{24}*100\\= \frac{0.4}{24}*100\\=0.0166*100\\=1.66\%$

Percent Error for Sample 3:

Amount on bottle = 25 ounces

Actual amount in bottle = 25.8 ounces

Putting the values in the formula

$Percent\ Error = E_3 = \frac{|25.8-25|}{25}*100\\= \frac{|0.8|}{25}*100\\= \frac{0.8}{25}*100\\=0.032*100\\=3.2\%$

Percent Error for Sample 4:

Amount on bottle = 39 ounces

Actual amount in bottle = 40.2 ounces

Putting the values in the formula

$Percent\ Error = E_4 = \frac{|40.2-39|}{39}*100\\= \frac{|1.2|}{39}*100\\= \frac{1.2}{39}*100\\=0.307*100\\=3.07\%$

By comparing the percent error in all sample, the sample with least percent error is sample 2

Keywords: Samples, Percent errors

Learn more about samples and errors at:

• brainly.com/question/909731
• brainly.com/question/902892

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