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].
