below are the dot plots for two data sets. (a dot plot is sometimes called a \line plot\.) data set a data…

Explanation:

Step1: Recall mean formula

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

Step2: Calculate mean for Data Set A

In Data Set A, the data points are: 3 (2 times), 4 (3 times), 5 (2 times). The sum of the data points is $3\times2 + 4\times3+5\times2=6 + 12+10 = 28$. The number of data points $n = 2 + 3+2=7$. The mean $\bar{x}_A=\frac{28}{7}=4$.

Step3: Calculate mean for Data Set B

In Data Set B, the data points are: 2 (1 time), 3 (2 times), 4 (2 times), 5 (2 times), 6 (2 times), 7 (1 time). The sum of the data points is $2\times1+3\times2 + 4\times2+5\times2+6\times2+7\times1=2+6 + 8+10+12+7 = 45$. The number of data points $n=1 + 2+2+2+2+1 = 10$. The mean $\bar{x}_B=\frac{45}{10}=4.5$.

Answer:

The mean of Data Set A is 4 and the mean of Data Set B is 4.5.