Question

find the mean, \\(overline { x }\\), of the data.
95, 80, 191, 86, 122, 86
\\(overline { x } =\\)

Explanation:

Step1: Sum up the data

$$95 + 80+191 + 86+122 + 86$$
$$=(95 + 80)+191+(86 + 86)+122$$
$$=175+191 + 172+122$$
$$=(175+191)+(172 + 122)$$
$$=366+294$$
$$=660$$

Step2: Count the number of data points

There are \(n = 6\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\). Substitute \(\sum_{i=1}^{n}x_{i}=660\) and \(n = 6\) into the formula: \(\bar{x}=\frac{660}{6}=110\)

Answer:

\(110\)