Question

finding the mean of a symmetric distribution
data set b
find the mean of each data set.
mean of data set a:

Explanation:

Step1: Count dots for Data Set A

Assume symmetric: 3,4,5,6 each have same dots (say 5).
Data: 3×5, 4×5, 5×5, 6×5. Total dots: 20.
Sum: (3+4+5+6)×5 = 18×5 = 90.

Step2: Calculate mean for Data Set A

Mean = $\frac{90}{20}$ = 4.5.

Step3: Count dots for Data Set B

Symmetric around 7: 6(2),7(4),8(2). Total dots:8.
Sum: (6×2)+(7×4)+(8×2)=12+28+16=56.

Step4: Calculate mean for Data Set B

Mean = $\frac{56}{8}$ =7.

Answer:

Mean of Data Set A: 4.5
Mean of Data Set B: 7