Statistics Test

Russ compared the heights of two basketball teams. He recorded the data as shown.

Which of the following is an inference that could be made from this data?

• 25% of team 1 is shorter than team 2

• 75% of team 2 is taller than team 1

• 50% of the teams are the exact same height

• 25% of team 1 is the same height as 50% of team 2

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A hospital wants to conduct a survey to find out what patients think about the quality of medical services provided by its doctors and staff. Which of these would be the population in this survey?

• the entire staff in the hospital

• all of the patients in the cardiology wing of the hospital

• all the doctors who treat patients in the hospital

• all the patients in the entire hospital

A state representative took several random surveys of adults to find which place they visited most frequently. The average of all of the surveys is shown in this table.

• A. On average, 50% of the adults visited the zoo most frequently.

• On average, 17% of the adults visited the park most frequently.

• On average, 2 out of 25 adults visited the aquarium most frequently.

• On average, 2 out of 10 adults visited the museum most frequently.

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The number of bikes sold by a store over a period of two weeks is shown. Which statement CORRECTLY compares the two data sets?

• The range of Week 1 is equal to the range of Week 2.

• The range of Week 2 is less than the range of Week 1.

• The range of Week 1 is less than the range of Week 2.

• There isn't enough information to calculate the range.

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The heights of two groups of students in different grades are shown in the box-and-whisker plot. Which statement CORRECTLY compares the two data sets?

• The maximum of Group A is greater than the maximum of Group B.

• The minimum of Group A is greater than the minimum of Group B.

• The median of Group B is greater than the median of Group A.

• The median of Group A is greater than the median of Group B.

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Jerry surveyed 50 band students at his school about whether or not they are planning to attend summer camp. Of the students he surveyed, 22 said they planned to go to camp. Which of the following statements is supported by Jerry's data?

• It is possible to make a prediction based on Jerry's results since the proportion of the sample wanting to go to camp is very close to the the proportion of the sample that does not want to go to camp

• It is not possible to make a prediction based on Jerry's results since the proportion of the sample wanting to go to camp is not equivalent to the proportion of the sample that does not want to go to camp.

• It is possible to make a prediction based on Jerry's results since his sample is representative of the population.

• It is not possible to make a prediction based on Jerry's results because the sample is not representative of the population.

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The U.S. House of Representatives has 435 members. The data sets consist of random samples of their ages taken on 3 consecutive days.

Data Set 1: 46, 52, 55, 82, 67, 52, 43, and 57.

Data Set 2: 66, 53, 55, 47, 49, 41, 54, and 56.

Data Set 3: 48, 61, 29, 46, 69, 39, 59, and 40.

Which can be a conclusion based on the data?

• There are too few data points to make a conclusion.

• The outliers in some of the data sets will affect the mean.

• The data is unreliable because they were taken by different people.

• The data is unreliable because they were taken on 3 consecutive days.

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A local newspaper runs poll estimates each time there is a mayoral election in the town of Shadyville. The voting population of the town is approximately 60,000, with an equal number of men and women. The current mayoral election has 4 candidates. The newspaper interviewed 2,800 women and 3,200 men to find out which candidate they planned to vote for and organized the results in the table.

Who is MOST likely to come in last in the election?

• Guiterez

• Meyer

• Newport

• Rogers

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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.

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An amusement park debuted a new roller coaster this season, and Peter, the park manager, is interested in the number of people who are riding it. The two data sets below represent the number of riders during the first two weeks of June. Rather than look at all those numbers, Peter wants to select a measure of central tendency that he can use to compare the attendance from week to week. Peter understands that many visitors want to ride the most popular attractions; therefore, he does not want outlier data to have too great an impact. Given that consideration, which measure of central tendency should Peter use to compare the attendance of week 1 to the attendance of week 2?

• Peter should compare the median attendance of week 1 to the median attendance of week 2.

• Peter should compare the median attendance of week 1 to the mean attendance of week 2.

• Peter should compare the mean attendance of week 1 to the median attendance of week 2.

• Peter should compare the mean attendance of week 1 to the mean attendance of week 2.

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