Statistics Comparing Data

What is the interquartile range (IQR) of this box plot?

• 8

• 3

• 20

• 5

• 14

The dot plots show the weights of a random sample of fish from two lakes. Pick the statement that describes the variability of the samples.

• The variability of the weights of the fish in Lake S is greater than the variability of the weights of the fish in Lake R.

• The variability of the weights of the fish in the two lakes are about the same.

• The variability of the weights of the fish in Lake R is greater than the variability of the weights of the fish in Lake S.

• You cannot determine variability based on a dot plot.

If a data set is skewed, and most of the data are at the lower end of the data, which is a better measure of center? Explain.

• The range; it would be smaller in a skewed data set.

• The mode; it would have to be at the lower end of the data.

• The mean; it is not affected by high or low data in a data set.

• The median; it is less sensitive to outliers in a data set.

What is the median?

• 62

• 58

• 66

• 60

Which box and whisker plot has the lowest minimum?

• Top plot

• Bottom plot

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

• 0

• 5

• 7

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

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.

The double dot plots show the average wait times in minutes for two popular rides at an amusement park. Compare the measures of center and variation, which ride typically has a longer wait time?

• No inference can be made from the graph.

• Topsy Turvy

• The wait times are the same for both rides.

• Rocket Blast

Which city, Nashville or Dallas, has the largest maximum temperature?

• Nashville

• Dallas