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The table shows the amounts of electricity, in megawatts, generated by wind-powered turbines in Texas from 2004 to 2010.

Electricity Generated by Wind Power

\begin{tabular}{|c|c|}
\hline Year & Megawatts \\
\hline 2004 & 1,290 \\
\hline 2005 & 1,992 \\
\hline 2006 & 2,736 \\
\hline 2007 & 4,353 \\
\hline 2008 & 7,113 \\
\hline 2009 & 9,403 \\
\hline 2010 & 10,089 \\
\hline
\end{tabular}

To the nearest megawatt, what is the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010? [tex]$\square$[/tex]

Sagot :

GinnyAnsweridn
To find the mean amount of electricity generated in Texas by wind-powered turbines from 2007 to 2010, we consider the data for the years 2007, 2008, 2009, and 2010:

1. Electricity generated in 2007: 4,353 megawatts
2. Electricity generated in 2008: 7,113 megawatts
3. Electricity generated in 2009: 9,403 megawatts
4. Electricity generated in 2010: 10,089 megawatts

First, we calculate the total amount of electricity generated over these four years:

[tex]\[ 4,353 + 7,113 + 9,403 + 10,089 = 30,958 \text{ megawatts} \][/tex]

Next, we find the mean (average) by dividing this total by 4 (the number of years):

[tex]\[ \text{Mean} = \frac{30,958}{4} = 7,739.5 \text{ megawatts} \][/tex]

Finally, we round this mean to the nearest megawatt:

[tex]\[ \text{Rounded Mean} = 7,740 \text{ megawatts} \][/tex]

Thus, the mean amount of electricity generated by wind-powered turbines in Texas from 2007 to 2010, rounded to the nearest megawatt, is [tex]\( 7,740 \)[/tex].
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