3. For the same 3 datasets as in Question 1:

a) Make a rough guess about the amount of variability you think each group has (a great deal, a moderate amount, very little) and explain how you came to this rationale.

b) Calculate the actual variance and standard deviation for each group, using the correct sample formula (n-1 in the denominator). Were your estimates from (a) accurate?

c) Calculate variance and standard deviation for each group again, but this time using the population formula (N in the denominator). How are your values different from what you obtained in (b)? Why is that?

Dataset 1:

Mean = 9.8

Median = 14

Mode= 15

Dataset 2:

Mean = 15.65

Median = 15

Mode= 15, 10, 23

Dataset 3:

Mean = 23.24

Median = 16

Mode= 13, 16

Data 1

Data 2

Data 3

Dataset 1:

not a normal distribution.

The skewness is leaning to the right.

Dataset 2:

normal distribution

Dataset 3:

not a normal distribution.

The skewness is leaning to the left.

(D)

Dataset 1:

mode

Dataset 2:

mean, median, mode

Dataset 3:

Mode