Comparing Populations

Which class has the higher test score median? 

• Class #1

• Class # 2 

• The medians are equal

• The median is not shown here. 

What can you infer about the populations for the two classrooms?

• Room 240 has more test scores than Room 300.

• Room 300 has lower test scores.

• Room 240 has higher test scores.

• Room 300 has higher test scores.

The table shows the finish times of 30 runners in the 100-meter dash. Use the table to identify the inference that can be made by comparing the measures of center.

• Every runner ran faster last year as compared to this year.

• Most runners ran faster last year, on average, as compared to this year.

• The runners ran faster this year, on average, as compared to last year.

• Every runner ran faster this year as compared to last year.

Which of the following statements is true?

• Group 1 has a greater median number of hours that they watched television. Group 1 has a smaller IQR, so the data is less spread out.

• The mean for group 2 is larger than the mean for group 1.

• The median for group 2 is larger than the median for group 1.

• Both sets of data are symmetric. You should use the mean to compare the measures of center.

Which class had the greater range of scores?

• Room 300

• Room 240

Which class shows more consistent test scores?

• Room 300 because of a larger range.

• Room 240 because of a larger range.

• Room 300 because of a smaller range.

• Room 240 because of a smaller range.

To select a new school mascot, 30 randomly selected students in each grade were asked to choose between the two finalists: Lions and Spartans. The results are shown below. Which statement is best supported by the results?

• The preferred mascot is Lions.

• The preferred mascot is Spartans.

• Fifth and sixth grade students at the school preferred the Spartans mascot.

• Seventh and eighth grade students at the school preferred a Spartans mascot.

• The median for the fruit data is 100. The median for the vegetable data is 50. Fruits have a higher number for calories with greater variation.

• The median for the fruit data is 50. The median for the vegetable data is 100. Fruits have a higher number of calories with greater variation.

• The median for the fruit data is 100. The median for the vegetable data is 50. Vegetables have a higher number of Calories with a greater variation.

• The median for the fruit data is 100. The median for the vegetable data is 50. Fruits have a higher number for calories with less variation.

The number of freshmen who chose Undecided as their major is less than the number of freshmen who chose English as their major.

• True

• False

The number of freshmen who chose Other and Science as their majors is greater than the number of freshmen who chose Education as their major.

• True

• False