Statistics Comparing Data

The principal at Key North Middle School wants to determine if the 85 students in the 7th grade prefer to collect bottles or sell magazines as their year-end trip fundrasier. Select ALL the sets of people that could be a representative sample of the population.

• 10 sixth-grade students, 10 seventh-grade students, 10 eighth-grade students

• 40 students from the school

• 30 seventh-grade students

• 10 seventh-grade boys and 10 teachers

• 15 seventh-grade boys and 15 seventh-grade girls

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7.SP.1

Peter randomly surveys people at a shopping center about the type of home they live in. If Peter randomly surveys another 300 people, how many would he expect to live in an apartment?

• 11

• 132

• 72

• 96

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7.SP.2

The food service manager at a school conducted a random survey of students to determine their preference for new lunch menu items. Select ALL the inferences that can be drawn from the manager's data.

• About twice as many students prefer pita sandwiches as those who prefer burritos.

• Burritos are the most preferred item.

• Almost half of the students preferred pita sandwiches

• About half as many students prefer the salad bar as those who prefer burritos.

• Twice as many students prefer pizza as those who prefer pita sandwiches.

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7.SP.2

A random survey of seventh- and eighth-grade students was conducted to find how many hours they spent reading per week. Of the two sets of data, which has the greater median?

• 7th grade

• 8th grade

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7.SP.3

• 1.5

• 2.5

• 3.5

• 5

What is the mean of the following set of numbers: 4, 8, 12, 16, 20?

Mathematical Equivalence

ON

What is the difference between the medians for the two data sets? 

• 0 tickets

• 2 tickets

• 4 tickets

• 6 tickets

The table represents the scores of ten students in Ms. Williams’s class on a math and science test. Which statement correctly compares the two sets of data?

• The mean score in Math is greater than the mean score in Science.

• The interquartile range of Math scores is greater than the interquartile range of Science scores.

• The scores in Math are more consistent than the scores in Science.

• The range of Science scores is greater than the range of Math scores.

Compare the interquartile ranges of the data sets.

• The interquartile range of both sets is equal to 1 hour.

• The interquartile range for the eighth-graders is greater than the interquartile range for seventh-graders.

• The interquartile range for seventh-graders is greater than the interquartile range for eighth-graders.

• The interquartile range for seventh-graders is equal to the interquartile range for eighth-graders.

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7.SP.3

Compare the variability of the seventh and eighth grade data sets.

• The seventh grade is more variable because the interquartile range is larger than the eighth grade.

• The eighth grade is more variable because their quartile 2, 3 and 4 are less than the seventh grade.

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7.SP.3