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

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

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

Explanation:

Step1: Recall the properties of a normal distribution

A normal distribution is symmetric about the mean.

Step2: Analyze each data set for symmetry

  • Data set A: The data set (2,3,3,4,4,4,5,5,6) has a single - peak (at (4)) and is relatively symmetric.
  • Data set B: The data set (3,4,5,6,6,7,7,7,8,8,9,10) is skewed to the right (has a longer tail on the right side).
  • Data set C: The data set (0.9,1.0,1.0,1.1,1.1,1.1,1.2,1.2,1.3) has a single - peak (at (1.1)) and is relatively symmetric.
  • Data set D: The data set (4,4,4,5,5,6,7,7,8,8,8) has two peaks (at (4) and (8)) but is somewhat symmetric around the center 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.

Answer:

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