Statistics Review

This pair of box plots represents sample data from two different populations. What is true about the data?

• The sample means are about the same.

• The interquartile ranges are much different.

• The heights of hockey players have a lot more variation than volleyball players.

• The sample means are different.

Which situation below represents a census of the population of seniors at KCC?

• Survey everyone in the cafeteria

• Survey every student at KCC

• Survey every freshmen at KCC

• Survey every senior at KCC

Mike would like to conduct a survey of students at a middle school to identify the type of food that students like best.  What is the population in this survey?

• All the lunch ladies

• All of the different lunches on the menu

• All of the students at the middle school

• The seventh grade students

The circle graph at the right shows the results of a survey in which students were asked their favorite sport. Which is a part-to-part comparison of students whose favorite sport was softball to students whose favorite sport was hockey?

• The students are two times more likely to prefer hockey over football.

• The students are two times more likely to prefer softball over hockey.

• The students are two times more likely to prefer hockey over softball.

• The students are three times more likely to prefer hockey over softball.

The population of a survey is everyone in Benner Library at Olivet.  Which represents a sample of this population?

• Everyone older than 25 in all libraries.

• Everyone in the computer lab of Benner Library.

• Everyone at Olivet.

• All students younger than 20 at Olivet.

Tom Ricketts wants to survey people who visit Wrigley Field and identify their favorite jersey the Cubs wear.  For his survey, the population is defined as all people who visit Wrigley Field in May.  The number of people in this population is large, so Tom realizes that he must choose a sample of the population to survey.  Which sample would be the best representation of the population?

• A random sample of 100 fans who visited Wrigley Field on Sundays.

• A random sample of 100 fans in the bleachers of Wrigley Field during May.

• A random sample of 100 females who visited Wrigley Field during May.

• A random sample of 100 people who visited Wrigley Field during May.

Which of the following methods would be appropriate for choosing a random sample of ten students from the 7^th grade?

• Choose 10 students from your lunch table.

• Get a print out of all the students in 7^th grade and choose every 10^th student.

• Assign every student a number and use a random number generator to select 10 numbers.

• Choose the first 10 students to get to your PE class.

A population of students in 7^th grade is surveyed.  What statement demonstrates sampling variability?

• The mean shoe size of the population is 8.5, and the mean shoe size of a random sample is 9.

• In one random sample chosen from the population, the mean shoe size was identical to that from another random sample.

• In one random sample chosen from the population, the mean shoe size was 7.4.

• In one random sample chosen from the population, the mean shoe size was 8.0.  In another random sample, the mean shoe size was 8.4.

Students are surveyed about the average number of minutes they spend getting ready each morning.  Which sample size will most likely have the least amount of variability?

• 10

• 20

• 30

• 40

Ben conducted a random sample of 20 students from his school to find out their favorite kind of pizza.  He found that 7 of the surveyed students prefer sausage.  What percentage of the students at Ben’s school are likely to prefer sausage pizza?

• 7%

• 25%

• 35%

• 77%