Which data set is the farthest from a normal distribution?

A. 2,3,3,4,4,4,5,5,6

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

C. 0.9,1.0,1.0,1.1,1.1,1.1,1.1,1.2,1.2, 1.3

D. 4,4,4,5,5,6,7,7,8,8,8

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

Data set B

Step-by-step explanation:

Given are 4 data sets. We have to check which is farthest from normal distribution.

We know that a normal distribution is bell shaped with mean = median = mode. Also 99% lie within 3 std deviations from the mean.

Data set A: Mean = Median = mode = 4

Data set B: Mean = 6.58: Median = mode = 7

Data set C: Mean = 1.1: Median = mode = 1.1

Data set D: Mean = 6.46: Median = mode = 7

We find that while A and C have exact characteristics of normal, B and D have a slight deviation

Of these D has more deviation than B

Hence answer is data set B