Comparing Center and Spread of Two Sets of Data

Find the medians.
Science: _________ Math: __________ 

•  science: 4.5 h; math: 3 h

•  science: 3 h; math: 4.5 h

•  science: 5 h; math: 5 h

•  science: 3.5 h; math: 4 h

What is the difference between the medians for the two data sets? 

• 0 tickets

• 2 tickets

• 4 tickets

• 6 tickets

What is the difference between the medians for cars and SUVs?

• 0

• 5

• 7

Compare the centers and spreads. 

•  Math has a higher median (center) and a wider spread.

•  Math has a higher median (center) and a smaller spread.

• Math has a lower median (center) and a smaller spread.

• Math has a lower median (center) and a wider spread.

Company A and Company B survey a random sample of 20 of its employees about how many minutes it takes each of them to commute home after work. Express the difference in the medians as a multiple of the IQR for each company.

Company A

Company B

• 0.8

• 0.4

The weights, in pounds, for seven Golden Retrievers and seven German Shepherds are listed below. Which statement correctly compares the medians and the ranges of the weights of the dogs? Golden Retrievers: 60, 62, 66, 68, 69, 70, 75 German Shepherds: 49, 54, 62, 65, 74, 79, 88

• Both the median and the range for the Golden Retrievers are less than the median and range for the German Shepherds.

• Both the median and the range for the Golden Retrievers are greater than the median and range for the German Shepherds.

• The median for the Golden Retrievers is less than the median for the German Shepherds, but the range for the Golden Retrievers is greater than the range for the German Shepherds.

• The median for the Golden Retrievers is greater than the median for the German Shepherds, but the range for the Golden Retrievers is less than the range for the German Shepherds.

What does the interquartile range (IQR) measure?

• The range of the entire data set

• The spread of the middle 50% of the data

• The average value of the data set

• The difference between the mean and median

Identify a possible outlier in these two distributions.

• 0.5 is a possible outlier in the Math distribution

• 4 is a possible outlier in the Science distribution

• 3 is a possible outlier in the Math distribution

The dot plots compare the number of raffle tickets sold by boys and girls during a school fund-raiser. Which plot has an outlier? 

• Girls

• Boys

• Both Plots

• Neither

What is the median of the data?

• 105

• 106

• 104

• 110