Compare Population Using Measure of Center and Variability

It is a measure of variability that you get when you subtract the smallest number in a set of data from the largest number.

• mean

• median

• mode

• range

Which measure of center should you use for the following data distribution?

• mean

• median

The scores for tests taken by Kesha and Robert are shown below. Each test is worth 20 points. Which statements below compare their data scores and are false statements? Select all that apply.

• The median is a better representation of center than the mean for Robert’s test scores.

• Kesha has a larger range than Robert.

• The middle 50% of Robert’s scores are more consistent than the middle 50% of Kesha’s scores.

• Robert's data has an outlier.

• Kesha’s data should use the median and Robert should usethe mean to represent their data.

What comparisons can be made about the variability between first period and second period?

• 1st Period has a smaller range and larger IQR than period 2.

• 2nd Period has a smaller range and larger IQR than period 1.

• 1st Period should use IQR as its measure of variability because it has no outliers.

• 2nd Period should use range as its measure of variability because it has no outliers.

If Store B had 240 customers, how many would you expect to spend less than $30?

• 40

• 60

• 80

• 100

Find the IQR of the 5 number summary.

• 10

• 15

• 19

• 22

How does the outlier in the data set below effect the mean?

• it increases the mean

• it decreases the mean

• it has no effect on the mean

• there is no outlier

What is the MEAN of the data set below?

• 14

• 18

• 31

• 90

What is the median of the data set?

• 18

• 20

• 22

• 51

What is the mean of the data below?

• 17

• 18

• 20

• 17.5