Question

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

Explanation:

Step1: List Data Set A values

Assume 3 dots at 2, 3, 4: [2,2,2,3,3,3,4,4,4]

Step2: Calculate sum of Data Set A

$2×3 + 3×3 + 4×3 = 6 + 9 + 12 = 27$

Step3: Find number of values in A

$3 + 3 + 3 = 9$

Step4: Compute mean of A

$\frac{27}{9} = 3$

Step5: List Data Set B values

Assume 2 dots at 2,3,4,5: [2,2,3,3,4,4,5,5]

Step6: Calculate sum of Data Set B

$2×2 + 3×2 + 4×2 + 5×2 = 4 + 6 + 8 + 10 = 28$

Step7: Find number of values in B

$2×4 = 8$

Step8: Compute mean of B

$\frac{28}{8} = 3.5$

Answer:

Mean of Data Set A: 3
Mean of Data Set B: 3.5