Question

find the mean, \\( \overline { x } \\), of the data.
16, 13, 20, 16, 12, 17, 18
\\( \overline { x } = \\) ?

Explanation:

Step1: Calculate the sum of data

$$16 + 13+20 + 16+12 + 17+18$$
$$=(16 + 16)+(13 + 17)+(12 + 18)+20$$
$$=32+30 + 30+20$$
$$=112$$

Step2: Calculate the number of data points

There are \(n = 7\) data points.

Step3: Calculate the mean

The formula for the mean \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), so \(\bar{x}=\frac{112}{7}=16\)

Answer:

\(16\)