Question

What is the mean for the set of data? Quiz Scores XXXXXXX 0 1 2 3 4 5 6 Score

Answer 1

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:

`\lbrace0,1,1,2,3,4,4,4,5,6\rbrace`

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:

`\bar{x}=(\Sigma x)/(n)`

In this case, there are 10 observations, then n=10

You can calculate the mean as follows:

`\begin{gathered} \bar{x}=(0+1+1+2+3+4+4+4+5+6)/(10) \\ \bar{x}=(30)/(10) \\ \bar{x}=3 \end{gathered}`

The mean of the data set is 3.