Question

calculate $\bar{x}$ (x - bar) for the data shown, to two decimal places
x
10.6
29.6
15.9
5
11.6
enter an integer or decimal number more...

Explanation:

Step1: Recall the 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. Here, $n = 5$, $x_1=10.6$, $x_2 = 29.6$, $x_3=15.9$, $x_4 = 5$, $x_5=11.6$.

Step2: Calculate the sum of data - points

$\sum_{i = 1}^{5}x_{i}=10.6 + 29.6+15.9 + 5+11.6=72.7$.

Step3: Calculate the mean

$\bar{x}=\frac{72.7}{5}=14.54$.

Answer:

$14.54$