Statistics Test

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.

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

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.

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.

Choose the statistical question:

• What time did you wake up this morning?

• What time do sixth graders wake up each morning during the school week?

a question that can be answered by collecting data that vary.

• Quartiles

• Statistical Questions

• Box Plot

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.

Miss Jackson is comparing her students' scores on the science test to the scores on the math test. She has recorded the scores for each test on the dot plots. Which of the following statements is true about the data?

• The mean absolute deviation of the math scores is greater than that of the science scores; therefore, the math scores are higher than the science scores.

• The mean absolute deviation of the science scores is greater than that of the math scores; therefore, the science scores are higher than the math scores.

• The mean absolute deviation of the science scores is greater than that of the math scores; therefore, the science scores are more spread out than are the math scores.

• The mean absolute deviation of the math scores is greater than that of the science scores; therefore, the math scores are more spread out than are the science scores.

Coach Keller is comparing the heights of the students on the basketball and volleyball teams. The line plots below show the heights, in inches, of the students on each team.

• The mean absolute deviation of the volleyball team's heights is greater than the mean absolute deviation of the basketball team's height.

• The basketball team's heights has a greater interquartile range than the volleyball team's heights.

• The volleyball team has a smaller range of heights than the basketball team.

• The mean absolute deviation of the basketball team's heights is greater than the mean absolute deviation of the volleyball team's height.

The tables below show the results of a survey that asked a random sample of 135 boys and girls from two schools in a city what their favorite sport was. Based on the survey results, which inference could NOT be properly drawn?

• The favorite sport of most of the girls at the schools is tennis.

• The favorite sport of most of the boys at the schools is soccer.

• In School 2, the number of boys whose favorite sport is swimming is about the same as the number of girls whose favorite sport is swimming

• At both schools, the number of the students whose favorite sport is tennis is almost the same as the number of students whose favorite sport is swimming.