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

Explanation:

Step1: Count data - points for Data Set A

Data - Set A has 1 + 3+3 + 3+1 = 11 data - points. The values and their frequencies are: 5 (1 time), 6 (3 times), 7 (3 times), 8 (3 times), 9 (1 time).

Step2: Calculate sum for Data Set A

Sum of values in Data Set A is (5\times1 + 6\times3+7\times3 + 8\times3+9\times1=5 + 18+21 + 24+9 = 77).

Step3: Calculate mean for Data Set A

Mean of Data Set A is (\frac{77}{11}=7).

Step4: Count data - points for Data Set B

Data - Set B has 1+3 + 2+2+3+1 = 12 data - points. The values and their frequencies are: 1 (1 time), 2 (3 times), 3 (2 times), 4 (2 times), 5 (3 times), 6 (1 time).

Step5: Calculate sum for Data Set B

Sum of values in Data Set B is (1\times1+2\times3 + 3\times2+4\times2+5\times3+6\times1=1+6 + 6+8+15+6 = 42).

Step6: Calculate mean for Data Set B

Mean of Data Set B is (\frac{42}{12}=3.5).

Answer:

Mean of Data Set A: 7 Mean of Data Set B: 3.5