Question

calculate \\(\overline{x}\\) (x-bar) for the data shown, to two decimal places\
\
| x |\
|-----|\
| 13.1|\
| 5.1 |\
| 27.7|\
| 5.6 |\
| 24 |\
| 23 |\
| 8.8 |\
| 26.9|\
| 6.3 |

Explanation:

Step1: Count the number of data points

There are 10 data points: 13.1, 5.1, 27.7, 5.6, 24, 23, 8.8, 26.9, 6.3, 25.7.

Step2: Sum all the data points

$$
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$$

Step3: Calculate the mean (x - bar)

The formula for the mean is \(\bar{x}=\frac{\sum x}{n}\), where \(n = 10\) and \(\sum x=166.2\).

$$ \bar{x}=\frac{166.2}{10}=16.62 $$

Answer:

16.62