select the correct answer.\nwhich data set is the farthest from a normal distribution?\n\na…

select the correct answer.\nwhich data set is the farthest from a normal distribution?\n\na. 2,3,3,4,4,4,5,5,6\n\nb. 3,4,5,6,6,7,7,7,8,8,9,10\n\nc. 0.9,1.0,1.0,1.1,1.1,1.1,1.2,1.2,1.3\n\nd. 4,4,4,5,5,6,7,7,8,8,8\n\ne. 2,4,5,5,6,6,7,7,7,8,8,9,9,10

select the correct answer.\nwhich data set is the farthest from a normal distribution?\n\na. 2,3,3,4,4,4,5,5,6\n\nb. 3,4,5,6,6,7,7,7,8,8,9,10\n\nc. 0.9,1.0,1.0,1.1,1.1,1.1,1.2,1.2,1.3\n\nd. 4,4,4,5,5,6,7,7,8,8,8\n\ne. 2,4,5,5,6,6,7,7,7,8,8,9,9,10

Answer

Explanation:

Step1: Recall normal - distribution properties

A normal distribution is symmetric about the mean. We can check the symmetry of each data - set.

Step2: Analyze data - set A

Data - set A: 2, 3, 3, 4, 4, 4, 5, 5, 6. The data is somewhat symmetric around 4.

Step3: Analyze data - set B

Data - set B: 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10. It is relatively symmetric around 7.

Step4: Analyze data - set C

Data - set C: 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3. It is symmetric around 1.1.

Step5: Analyze data - set D

Data - set D: 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8. It is somewhat symmetric around 6.

Step6: Analyze data - set E

Data - set E: 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10. The left - hand side (2, 4) has a large gap compared to the right - hand side, and it is not symmetric.

Answer:

E. 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10