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find the mean, (overline{x}), of the data. 12, 53, 141, 219, 500 (overl…

Question

find the mean, (overline{x}), of the data.
12, 53, 141, 219, 500
(overline{x}=square)

Explanation:

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.
$\bar{x}=\frac{925}{5}=185$

Answer:

$185$