Question

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the table shows the amounts of electricity, in megawatts, generated by wind - powered turbines in texas from 2004 to 2010.
to the nearest megawatt, what is the mean amount of electricity generated in texas by wind - powered turbines from 2007 to 2010?

Explanation:

Step1: Find the sum of the data

We need to sum up the amounts of electricity generated from 2007 to 2010. The values are \(4353\), \(2736\), \(7113\), \(9403\), \(10089\).

$$4353 + 2736+7113 + 9403+10089$$

$$=(4353+2736)+(7113 + 9403)+10089$$

$$=7089+16516+10089$$

$$=7089+10089+16516$$

$$=17178+16516$$

$$=33694$$

Step2: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Here \(n = 5\) (years from 2007 - 2010 inclusive).
\(\bar{x}=\frac{33694}{5}=6738.8\approx6739\)

Answer:

\(6739\)