Considering the dot plot:
Each cross of the given plot corresponds to one observation of the data set, looking at the graph you can determine the data set:
[tex]\lbrace0,1,1,2,3,4,4,4,5,6\rbrace[/tex]
To calculate the mean of the data set, you have to add all observations and divide it by the number of observations within the data set. Following the formula:
[tex]\bar{x}=\frac{\Sigma x}{n}[/tex]
In this case, there are 10 observations, then n=10
You can calculate the mean as follows:
[tex]\begin{gathered} \bar{x}=\frac{0+1+1+2+3+4+4+4+5+6}{10} \\ \bar{x}=\frac{30}{10} \\ \bar{x}=3 \end{gathered}[/tex]
The mean of the data set is 3.
