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?

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absor201 absor201 · Answer 1 · 2020-02-01T14:29:09+01:00

Sample 2 has least percent error

Step-by-step explanation:

We have to find the percent error in all samples to verify which sample had the least percent error

Percent error is given by:

[tex]Percent\ error = \frac{|actual\ amount-stated\ amount|}{Stated} * 100[/tex]

For sample 1:

Stated amount = 14 ounces

Actual amount = 13.7 ounces

[tex]Percent\ error = \frac{|13.7-14|}{14} * 100\\= \frac{|-0.3|}{14} * 100\\=\frac{0.3}{14} * 100\\= 0.021428*100\\=2.1428\%[/tex]

Sample 2:

Stated amount = 24 ounces

Actual amount = 24.4 ounces

[tex]Percent\ error = \frac{|24.4-24|}{24} * 100\\= \frac{|0.4|}{24} * 100\\=\frac{0.4}{24} * 100\\= 0.016666*100\\=1.666..\%[/tex]

Sample 3:

Stated amount = 25 ounces

Actual amount = 25.8 ounces

[tex]Percent\ error = \frac{|25.8-25|}{25} * 100\\= \frac{|0.8}{25} * 100\\=\frac{0.8}{25} * 100\\= 0.032*100\\=3.2\%[/tex]

Sample 4:

Stated amount = 39 ounces

Actual amount = 40.2 ounces

[tex]Percent\ error = \frac{|40.2-39|}{39} * 100\\= \frac{|-1.2|}{39} * 100\\=\frac{1.2}{39} * 100\\= 0.030769*100\\=3.0769\%[/tex]

Hence,

Sample 2 has least percent error

Keywords: Percent error, error

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