find the mean of each data set. mean of data set a: mean of data set b:

Explanation:

Step1: Identify values and frequencies for Data Set A

Data Set A has values: 3 (1 time), 4 (3 times), 5 (3 times), 6 (1 time).

Step2: Calculate sum of values for Data Set A

Sum = (3\times1 + 4\times3+5\times3 + 6\times1=3 + 12+15 + 6=36).

Step3: Calculate number of data - points for Data Set A

Number of data - points (n_A=1 + 3+3 + 1=8).

Step4: Calculate mean of Data Set A

Mean of Data Set A (\bar{x}_A=\frac{36}{8} = 4.5).

Step5: Identify values and frequencies for Data Set B

Data Set B has values: 5 (3 times), 6 (2 times), 7 (3 times).

Step6: Calculate sum of values for Data Set B

Sum = (5\times3+6\times2 + 7\times3=15+12 + 21=48).

Step7: Calculate number of data - points for Data Set B

Number of data - points (n_B=3 + 2+3=8).

Step8: Calculate mean of Data Set B

Mean of Data Set B (\bar{x}_B=\frac{48}{8}=6).

Answer:

Mean of Data Set A: 4.5 Mean of Data Set B: 6