Comparison and Inference Between Data

Four fourth-grade girls and four seventh-grade girls were randomly selected. Their heights, in inches, are recorded below.
4th Grade
56, 47, 54, 51
7th Grade
57, 58, 60, 64
Which grade has the highest mean?

• 4th Grade

• 7th Grade

Compare the interquartile ranges (IQR) of the two box-and-whisker plots. Choose the statement that best describes the relationship.

• The IQRs are the same for both women and men ages.

•  The IQR for men is greater than the IQR for women.

• The IQR for women is greater than the IQR for men.

•   The IQR for both categories cannot be determined.

The box-and-whisker plot shows the profits for two different companies (in millions of dollars). Find the median profit for both companies.

• 18.5, 18

• 5.5, 5

• 15, 12

• 27, 24

Which of the following statements is true?

• The median age of women is greater than men.

• The median age of both women and men are the same.

• The lower quartile for the ages of men is greater than the upper quartile for the ages of women.

•  The range of women's ages is greater than the range of means’ ages.

Trey and Jason are training to run a marathon.  They have been running for 9 days and        recorded how many miles they each ran.  Their results are listed below as Sample A:  Trey        and Sample B:  Jason.

• Sample A, Trey Mean = 4.78 miles

  Sample B, Jason Mean = 7.33 miles

• Sample A, Trey Mean = 4.00 miles

  Sample B, Jason Mean = 7.00 miles

• Sample A, Trey Mean = 6 miles

  Sample B, Jason Mean = 8 miles

• Sample A, Trey Mean = 4.42 miles

  Sample B, Jason Mean = 7.22 miles

According to the dot plot comparison between Daniel and Sam, what inference can be determined?

• Sam had the highest measure of center for points scored.

• Daniel was the better player.

• Daniel had the highest median points scored.

• Sam was the better player.

Which of the following box-and-whisker           plots has a range of 36?

• Data set A

• Data set B

• Data set C

The Stem and Leaf Ploth in the picture is visually __________.

• Skewed Right

• Symmetric

• Skewed Left

• Unable to Determine

If you compare the medians of each data set, who spends more time online?

• Seventh graders

• Eight graders

• Both grades spend an equal amount of time online.

• Impossible to determine form the data sets.

One week, Kyasia drove to work. The next week, she rode the train. Each day, she recorded how long it took in minutes. What can Kyasia infer from the two data sets?

• The time it take to get to drive to work is more consistent than the time it takes to take the train.

• Based on the mean, it generally takes longer to take the train to work.

• In terms of time, it is less consistent to drive than it is to take the train to work.

• It's impossible to make any inferences based on the data display.