which 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…

which 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

which 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

Answer:

B. 3,4,5,6,6,7,7,7,8,8,9,10

Explanation:

Step1: Recall the shape of normal distribution

A normal distribution is symmetric about the mean.

Step2: Analyze each data - set

  • Data - set A: The data set (2,3,3,4,4,4,5,5,6) has a relatively symmetric shape around the value (4).
  • Data - set B: The data set (3,4,5,6,6,7,7,7,8,8,9,10) has a longer tail on the right - hand side. The values (9) and (10) make it right - skewed.
  • Data - set C: The data set (0.9,1.0,1.0,1.1,1.1,1.1,1.2,1.2,1.3) is relatively symmetric around the value (1.1).
  • Data - set D: The data set (4,4,4,5,5,6,7,7,8,8,8) is relatively symmetric around the value (6).
  • Data - set E: The data set (2,4,5,5,6,6,7,7,7,8,8,9,9,10) is relatively symmetric around the value (7).

Since a normal distribution is symmetric and data - set B is the most skewed (right - skewed) among the given options, it is the farthest from a normal distribution.