Measures of Variability

What is the range?

• 6

• 2 - 8

• 3

• 4

What is the first quartile?

• 4

• 5

• 6

• 7

What is the third quartile?

• 4

• 5

• 6

• 7

What is the interquartile range?

• 3

• 6

• 4

• 5

The heights, in feet, of random samples of trees from three forests are shown. Move each measure into the table to identify which forest is expected to have the greatest measure of center and which forest is expected to have the greatest measure of variability based on the samples.

a

b

c

greatest variability

-

greatest measure of center

The best description of the data is ​ ​ (a)   . ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

• range

• mean

• skewed left

• mean

• range

• skewed right

• symmetric

• symmetric with an outlier

The best description of the data is ​ ​ (a)   . ​ ​ The most appropriate measure of center is the​ ​ (b)   . The most appropriate measure of variability is the ​ ​ (c)   .

• range

• mean

• skewed left

• median

• IQR

• skewed right

• symmetric

• symmetric with an outlier

The best description of the data is ​ (a)   . ​ ​ The most appropriate measure of center is the​ (b)   . The most appropriate measure of variability is the ​ (c)   .

• range

• mean

• IQR

• median

• skewed right

• symmetric

• symmetric with an outlier

• skewed left

The heights, in feet, of random samples of trees from three forests are shown. Move each measure into the table to identify which forest is expected to have the greatest measure of center and which forest is expected to have the greatest measure of variability based on the samples.

a

b

c

-

greatest variability

greatest measure of center

The best description of the data is ​ (a)   . ​ ​ The most appropriate measure of center is the​ (b)   . The most appropriate measure of variability is the ​ (c)   .

​

• range

• mean

• IQR

• median

• skewed right

• symmetric

• symmetric with an outlier

• skewed left