Center and Variability Comparing

Given a set of skewed data, which is an appropriate measure of center?

• Mean

• Median

• Mode

Given a set of skewed data, which is an appropriate measure of spread?

• Mean

• Median

• Standard Deviation

• Interquartile Range (IQR)

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

What is the median?

• 62

• 58

• 66

• 60

• 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.

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.

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.

Andy is comparing how long two tablets can be used after being fully charged.Use the measures of variability to make an inference about the data.

• The IQR for tablet A is higher so tablet A's battery life is more consistent.

• The MAD is lower in tablet B's battery life so Tablet B is more consistent.

• On average Tablet A's battery will last longer.

• On average Tablet B's battery will last longer.