select the correct answer. which data set is the farthest from a normal distribution? a. 2,3,3,4,4,4,5,5,6…

select the correct answer. which data set is the farthest from a normal distribution? a. 2,3,3,4,4,4,5,5,6 b. 3,4,5,6,6,7,7,7,8,8,9,10 c. 0.9,1.0,1.0,1.1,1.1,1.1,1.2,1.2,1.3 d. 4,4,4,5,5,6,7,7,8,8,8 e. 2,4,5,5,6,6,7,7,7,8,8,9,9,10
Answer
Answer:
A. 2, 3, 3, 4, 4, 4, 5, 5, 6
Explanation:
Step1: Recall normal - distribution properties
A normal distribution is symmetric about the mean.
Step2: Analyze option A
The data set A has a left - skewed appearance. The lower values (2, 3) are more spread out on the left side compared to the right side.
Step3: Analyze option B
The data set B is relatively symmetric around the middle values (7).
Step4: Analyze option C
The data set C is symmetric around 1.1.
Step5: Analyze option D
The data set D is somewhat symmetric around 6.
Step6: Analyze option E
The data set E is also relatively symmetric around 7. So, option A is the farthest from a normal distribution.