Comparing Box Plots

Question 1

The box plots show the average gas mileage of cars and minivans tested by a certain company.Josef says that the range for the car data is greater than the range for the minivan data because the box in the box plot for the car data is wider. Which explains Josef’s error?

Revolt · Accepted Answer

Josef confused the range and the interquartile range.

Question 2

The box plots show the average gas mileage of cars and minivans tested by a certain company.Which is closest to the difference in the medians of the two sets of data?

Revolt · Accepted Answer

5

Question 3

The box plots show the average wind speeds, in miles per hour, for two different islands.Average Wind Speeds on Island AAverage Wind Speeds on Island BWhich explains, on a given day, which island is more likely to have a wind speed close to its median?

Revolt · Accepted Answer

Island A because it has a smaller interquartile range.

Question 4

The box plots show the weights, in pounds, of the dogs in two different animal shelters.Weights of Dogs in Shelter AWeights of Dogs in Shelter BWhich animal shelter has the dog that weighs the greatest?

Revolt · Accepted Answer

shelter A

Question 5

The box plots show the number of hours of television a group of middle school students and a group of elementary school students watch each week.Middle School StudentsElementary School StudentsWhich are true statements when comparing the data in the box plots? Select three choices.

Revolt · Accepted Answer

The data for elementary school are more consistent than those for middle school.; About 50% of elementary school students watch between 4 and 7 hours of television each week.; On average, middle school students watch less television than elementary school students each week.

Question 6

The box plots show the average speeds, in miles per hour, for the race cars in two different races.Average Speeds of Cars in Race AAverage Speeds of Cars in Race BWhich statement compares the median speeds for the data in the two box plots?

Revolt · Accepted Answer

The median speed in race A is about 153 miles per hour, and the median speed in race B is about 145 miles per hour.

Question 7

The box plots show the summer temperatures, in degrees Fahrenheit, in two cities.Summer Temperatures in City ASummer Temperatures in City BLinda is trying to decide which city to visit. She likes the summer temperature to be around . Which city she should visit?

Revolt · Accepted Answer

She should visit city B because the temperatures are consistently closer to a median of .

Question 8

The box plots show Devonte’s scores in Spanish and in French.SpanishFrenchDevonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct?

Revolt · Accepted Answer

Devonte is correct because the interquartile range is less for French.

Question 9

The box plots show Rene’s scores in Spanish and in French.SpanishFrenchWhich table correctly compares the measures of center and the measures of variability?

Revolt · Accepted Answer

A 4-column table with 3 rows. Column 1 has entries Spanish, French, blank. Column 2 is labeled Median with entries 70, 75, Difference in medians: 5. Column 3 is labeled Range with entries 40, 35, Difference in ranges: 5. Column 4 is labeled Interquartile Range with entries 25, 15, Difference in Interquartile Ranges: 10.

Question 10

The box plots show Lauren’s chemistry scores and her biology scores.ChemistryBiologyLauren used the steps below to determine the differences in the medians and the interquartile ranges.Step 1Find the median for chemistry:80Find the median for biology:70Step 2Find the difference in the medians: Step 3Find the interquartile range for chemistry: Find the interquartile range for biology: Step 4Find the difference in the interquartile ranges: Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which explains Lauren’s error?

Revolt · Accepted Answer

Lauren made her first error in step 3 because she should have used for chemistry and for biology.

Comparing Box Plots Answers

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