QUESTION IMAGE
Question
find the mean, (overline{x}), of the data.
12, 53, 141, 219, 500
(overline{x}=square)
Step1: Calculate the sum of data
$12 + 53+141 + 219+500$
$$\begin{align*}
&12+53 + 141+219+500\\
=&(12 + 53)+(141+219)+500\\
=&65+360 + 500\\
=&425+500\\
=&925
\end{align*}$$
Step2: Calculate the number of data points
There are $n = 5$ data points.
Step3: Calculate the mean
The formula for the mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$. Substitute $\sum_{i=1}^{n}x_{i}=925$ and $n = 5$ into the formula.
$\bar{x}=\frac{925}{5}=185$
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$185$