Compare Population Using Measure of Center and Variability

What is the interquartile range (IQR)?

• 4

• 64

• 60

• 8

What is the interquartile range?

• 3

• 6

• 4

• 5

Which class has the higher test score median? 

• Class #1

• Class # 2 

• The medians are equal

• The median is not shown here. 

What conclusion can Ms. Long make about the performance of her first- and second-period classes?

• The first-period class had a higher median score than the second-period class.

• The second-period class scores had a higher mean than the first-period class scores.

• The first-period class scores had a greater range than the second-period class scores.

• The second-period class scores had a greater mean absolute deviation than the first-period class scores.

Which measure of center and variability should you use to to compare these data sets? Choose one of each.

• Mean

• Median

• Standard Deviation

• IQR

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

Which set has greater variability?

• A

• B

Which measure of center and variability should you use to to compare these data sets? Choose one of each.

• Mean

• Median

• Standard Deviation

• IQR

Lin wants to know if students in elementary school generally spend more time playing outdoors than students in middle school. She selects a random sample of size 20 from each population of students and asks them how many hours they played outdoors last week. Suppose that the MAD for each of her samples is about 3 hours. Select all pairs of sample means for which Lin could conclude there is a meaningful difference between the two populations.

• elementary school: 12 hours, middle school: 10 hours

• elementary school: 14 hours, middle school: 9 hours

• elementary school: 13 hours, middle school: 6 hours

• elementary school: 13 hours, middle school: 10 hours

• elementary school: 7 hours, middle school: 15 hours