Effects on Measure of Center

What happens if 45 is removed from the data set?

• the mode will decrease

• the mode will stay the same

• the mean will increase

What will happen to the median if a 8 is added to the data set?

8, 2, 5, 9, 8

• the median will increase

• the median will decrease

• the median will stay the same

What happens to the mode if 98 is removed from the data set?

• there will be no mode

• the mode will be 98

• the mode will be 98 and 100

• the mode will be 100

When finding the median, what do you do if there are two middle numbers?

• Add them together and divide by 2

• Write them both as the answer

• Give up

• Pick one

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 measure of center

greatest variability

-

Annabel is comparing the distances that two electric cars can travel after the battery is fully charged. Use the measures of center to make an inference about the data. Use the drop-down menus to complete your answer. ​ (a)   can travel further than ​ (b)   after the battery is fully charged.

• Car B

• Car A

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 box plot shows the test scores in Mr. Jordan's class. The appropriate measure of center is the ​ ​ ​ (a)  

• Median

• Mode

• Mean

• Range

• IQR

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