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A student named Lauren was asked to determine the average amount of increase or decrease in the gallon price of regular gasoline from 1996 to 2001. Lauren said, “To determine the average, I would add all of the price changes in those years and divide by the number of years. So there are changes of 0.15, 0.12, 0.17, 0.33, 0.14 and 0.31 and there was about a $0.20 increase per year on average.”

Respuesta :

Given the following question:

To determine the average we would add all of the price changes up and then divide by the number of years.

They're a total of 15 years

0.15, -0.12, -0.17, 0.33, 0.14, -0.31, 0.34, 0.04, 0.31, 0.41, 0.14, 0.71, -1.44, 1.00, 0.44 = 15 numbers

Now we add:

average = sum of the values ÷ number of values

[tex]\begin{gathered} 0.15,-0.12,-0.17,0.33,0.14,-0.31,0.34,0.04,0.31,0.41,0.14,0.71,-1.44,1.00,0.44 \\ 0.15+-0.12=0.03 \\ 0.03+-0.17=-0.14 \\ -0.14+0.33=0.19 \\ 0.19+0.14=0.33 \\ 0.33+-0.31=0.02 \\ -0.02+0.34=0.36 \\ 0.36+0.04=0.40 \\ 0.40+0.31=0.71 \\ 0.71+0.41=1.12 \\ 1.12+14=1.26 \\ 1.26+-1.44=-0.18 \\ -0.18+1.00=0.82 \\ 0.82+0.44=1.26 \\ =1.26 \end{gathered}[/tex]

Now we divide

[tex]\begin{gathered} 1.26\div15=0.084 \\ 0.084 \\ 4<5 \\ 0.08 \end{gathered}[/tex]

The average is $0.08

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