calculate $\bar{x}$ (x - bar) for the data shown, to two decimal places\nx\n8.1\n7.7\n6\n10.5\n16.1\n7.8\n13…

Explanation:

Step1: Recall mean formula

The formula for the sample - mean $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points.

Step2: Calculate the sum of data

$\sum_{i = 1}^{10}x_{i}=8.1 + 7.7+6 + 10.5+16.1+7.8+13.3+29.2+18+8.7=126.4$

Step3: Determine the number of data

Here, $n = 10$.

Step4: Calculate the mean

$\bar{x}=\frac{126.4}{10}=12.64$

Answer:

$12.64$