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

Explanation:

Step1: Count data - points in Data Set A

Data Set A has 1 + 2+2 + 2+2 + 1=10 data - points.

Step2: Calculate sum of values in Data Set A

Sum = 3×1+4×2 + 5×2+6×2+7×2+8×1=3 + 8+10 + 12+14+8 = 55.

Step3: Calculate mean of Data Set A

Mean of Data Set A=$\frac{55}{10}=5.5$.

Step4: Count data - points in Data Set B

Data Set B has 2+1 + 2+1+2 = 8 data - points.

Step5: Calculate sum of values in Data Set B

Sum = 2×2+3×1 + 4×2+5×1+6×2=4 + 3+8+5+12 = 32.

Step6: Calculate mean of Data Set B

Mean of Data Set B=$\frac{32}{8}=4$.

Answer:

Mean of Data Set A: 5.5 Mean of Data Set B: 4