Chapter 3: Measures of Distribution Shape

Question 1

Skewness

Answer 1

a measure of the shape of the data distribution

DOES NOT APPLY to qualitative data

Question 2

Negatively Skewed

Answer 2

higher frequency of larger observations

tail points left

Question 3

Positively Skewed

Answer 3

higher frequency of smaller observations

tail points right

Question 4

Symmetric

Answer 4

the data is normal

the mean, median, and mode are all the same

Question 5

Skewness and Mean

Answer 5

the mean is pulled towards the tail for skewed data

Question 6

Skewness and Median

Answer 6

The median lies between the mean and mode for skewed data

Question 7

Skewness and Mode

Answer 7

The mode always lies at the peak

Question 8

Kurtosis

Answer 8

How peaked or flat the data is

DOES NOT APPLY to qualitative data

Question 9

Excess Kurtosis

Answer 9

Kurtosis - 3

Question 10

Mesokurtic

Answer 10

normal kurtosis

excess kurtosis = 0

Question 11

Leptokurtic

Answer 11

tall and thin

Excess kurtosis > 0

Question 12

Platykurtic

Answer 12

short and wide

excess kurtosis <0

Question 13

Are the data normal?

Answer 13

Within +/- 3 times the standard error of skewness

Within +/- 3 times the standard error of kurtosis