Comparing Measure of Center

Which statement comparing the modes to the ranges is true?

• The modes differ by 40 and the ranges differ by 40.

• The modes differ by 20 and the ranges differ by 20.

• The modes differ by 40, but the ranges differ by 20.

• The modes differ by 20, but the ranges differ by 40.

What is the ratio of the difference in the means to the Mean Absolute Deviation of Team B?

• 0.09

• 0.15

• 0.25

• 0.65

Which measures of center or variability are greater than 5 degrees? Select three choices.

• the mean of this week’s temperatures

• the mean of last week’s temperatures

• the range of this week’s temperatures

• the mean absolute deviation of this week’s temperatures

• the mean absolute deviation of last week’s temperatures

Theo recorded the means and mean absolute deviations of his language arts and Biology scores. He found the difference in the means of the scores of the two subjects. What is the approximate ratio of the difference in the means to each of the mean absolute deviations?

• 2

• 5

• 18

• 28

Step 1 Add Scores: 76+62+94+80=312

Step 2 Divide the sum of the scores by 4: 312/4 = 78 Step 3 Add the difference between the mean and each score: (76-78)+(62-78)+(94-78)+(80-78)=0

Step 4 Divide by 4: 0/4 = 0

• Step 1

• Step 2

• Step 3

• Step 4

The double dot plot shows the number of city pet registrations for several days.

• The mean number of cat registrations is greater than the mean number of dog registrations.

• The dogs’ data has a mean of 10 registrations.

• The cats’ data has a mean of 15 registrations.

• The mean number of dog registrations is greater than the mean number of cat registrations.

The double box plot below shows the results of a school survey about types of lunch purchased.

• The a la carte data have less variation than full lunch.

• The a la carte data are centered around a higher value.

• The data for full lunch has a median of 180.

• The data for a la carte lunches has an interquartile range of 240 students.

The double box plot shows the number of Calories per serving for various fruits and vegetables.

• The median for the fruit data is 125.

• The median for the vegetable data is 75.

• The fruits have a higher number of calories with a greater variation.

• The vegetables have a higher number of calories with a greater variation.

The double box plot shows the heights in inches for the players on two professional basketball teams.

• While the median heights are about the same, the variation in heights is greater for the NJ Nets than the NY Knicks.

• While the median heights are about the same, the variation in heights is greater for the NY Knicks than the NJ Nets.

• The heights of the NJ Nets are more consistently centered around the median.

• The heights of the NY Knicks are less consistently centered around the median.

The double dot plot shows the number of minutes two students spent practicing the piano.

• Both data sets have the same variation, but Lily’s data centers around a higher value.

• Both data sets have the same variation, but Alessandra's data centers around a higher value.

• Generally, Lily practiced less minutes than Alessandra.

• Generally, Alessandra practiced more minutes than Lily.