Question

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 1

D seems distributed pretty evenly.

Answer 2

the bigger the difference between mean and median, the more skewed the distribution

Answer 3

but they all look evenly distributed to me

Answer 4

thats why i would try the difference between mean and median

in a normal distribution, mean = median = mode = midrange not to sure if that last one is a correct term tho

Answer 5

since mean and median are fairly simple to compute, id suggest narrowing the options and testing, or calculating all of them and comparing

Answer 6

im thinking B, am i wrong?

Answer 7

B = 7,6.667
E = 7, 6.643

the rest have equal mean and medians

Answer 8

B is closer to 7 then E so E has more skew to it