Question

calculate \\(\bar{x}\\) (x-bar), which is the the sample mean, for the data shown, to 2 decimal places. these data are not sorted. \\(\

$$\begin{array}{|c|} \\hline x \\\\ \\hline 5.3 \\\\ \\hline 22.2 \\\\ \\hline 19.1 \\\\ \\hline 21.9 \\\\ \\hline 10.3 \\\\ \\hline 11.5 \\\\ \\hline 1.1 \\\\ \\hline 15.3 \\\\ \\hline 8 \\\\ \\hline \\end{array}$$

\\)

Explanation:

Step1: Count the number of data points

There are 9 data points: 5.3, 22.2, 19.1, 21.9, 10.3, 11.5, 1.1, 15.3, 8.

Step2: Calculate the sum of the data points

$$
LATEXBLOCK0
$$

Step3: Calculate the sample mean

The formula for the sample mean \(\bar{x}\) is \(\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}\), where \(n = 9\) and \(\sum_{i=1}^{n}x_{i}=114.7\).

$$ \bar{x}=\frac{114.7}{9}\approx12.74 $$

Answer:

12.74