Question

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

Explanation:

Step1: Identify Data Set A values

Data Set A (left line plot): 3,3,3,4,4,5,5,5

Step2: Calculate sum of Data Set A

$3×3 + 4×2 + 5×3 = 9 + 8 + 15 = 32$

Step3: Count Data Set A entries

Total entries: $3 + 2 + 3 = 8$

Step4: Compute mean of Data Set A

$\frac{32}{8} = 4$

Step5: Identify Data Set B values

Data Set B (right line plot): 4,5,5,5,6,6,7,7,8,8,8,9

Step6: Calculate sum of Data Set B

$4×1 + 5×3 + 6×2 + 7×2 + 8×3 + 9×1 = 4 + 15 + 12 + 14 + 24 + 9 = 78$

Step7: Count Data Set B entries

Total entries: $1 + 3 + 2 + 2 + 3 + 1 = 12$

Step8: Compute mean of Data Set B

$\frac{78}{12} = 6.5$

Answer:

Mean of Data Set A: 4
Mean of Data Set B: 6.5