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:
[tex]Percent\ Error = \frac{|Approx\ Value- Exact\ Value|}{Exact\ Value}*100[/tex]
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
[tex]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\%[/tex]
Percent Error for Sample 2:
Amount on bottle = 24 ounces
Actual amount in bottle = 24.4 ounces
Putting the values in the formula
[tex]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\%[/tex]
Percent Error for Sample 3:
Amount on bottle = 25 ounces
Actual amount in bottle = 25.8 ounces
Putting the values in the formula
[tex]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\%[/tex]
Percent Error for Sample 4:
Amount on bottle = 39 ounces
Actual amount in bottle = 40.2 ounces
Putting the values in the formula
[tex]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\%[/tex]
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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