Unit 1 - Multiple Choice

2. The boxplot below summarizes the heights (in centimeters) of a sample of 200 3-year-old males in the United States. Which of the following statements is false? (A) 50% of the children in the sample had heights between 93 and 98 cm. (B) 25 children had heights greater than 98 cm. (C) The 25th percentile in this sample is a height of 93 cm. (D) The tallest child in this sample was 111 cm tall. (E) Every child in the sample was at least 82 cm tall.

Answer - (B) 25 children had heights greater than 98 cm.

4. Consider the stemplot below, which gives the number of people attending a matinee show at the local movie theatre for the past 26 days. Which of the following statements are true? I. The five number summary is 18, 35, 54, 87, 123 II. Half of the data values are larger than 54. III. The shape of the distribution is skewed left. (A) I and II (B) II (C) II and III (D) III (E) I, II, and III

Answer - (B) II

6. A distribution has a shape that is strongly skewed left. Which of the following statements is most likely true about this distribution? (A) Mean > Median. (B) Mean = Median. (C) Mean < Median. (D) Only the mode can be determined. (E) There are no outliers in the distribution.

Answer - (C) Mean < Median.

10. The mosaic plot shows the distribution of favorite math class for students and teachers at East Kentwood High School. Based on the graph, which of the following statements is true? (A) There are more teachers than students who chose their favorite math class as AP Calc. (B) 100% of students chose Intro Stats as their favorite math class. (C) When combining students and teachers, AP Stats has the highest overall proportion who chose it as their favorite math class. (D) 80% of students chose AP Calc. (E) There are more teachers than students at East Kentwood High School.

Answer - (C) When combining students and teachers, AP Stats has the highest overall proportion who chose it as their favorite math class.

9. A club bowling team has 12 members. The first ten members bowl a game, and their average score is 156. If you know the next two members bowl scores of 173 and 151, do you have enough information to find the total of all 12 scores? (A) Yes, the total is 157. (B) Yes, the total is 1872. (C) Yes, the total is 1884. (D) No, we would need to know the ten individual scores. (E) No, we would need to know the standard deviation.

Answer - (C) Yes, the total is 1884.

8. The following table shows how high school students in four grade levels ate their lunch on a particular day - purchased in the cafeteria, brought a bag lunch, or purchased lunch off campus. What is the approximate proportion of Juniors that purchased lunch off-campus on this particular day? (A) 0.06 (B) 0.37 (C) 0.24 (D) 0.27 (E) 0.35

Answer - (D) 0.27

3. A college professor calculates the standard deviation of all the grades from the midterm exams she most recently administered. Which of the following is the best description of the standard deviation? (A) The difference between the highest score on the midterm and the lowest score on the midterm. (B) The difference between the score representing the 75th percentile of all midterm exams and the score representing the 25th percentile of all midterm exams. (C) Approximately the mean distance between each individual grade of the midterm exams. (D) Approximately the mean distance between the individual grades of the midterm exams and the mean grade of all midterm exams. (E) Approximately the median distance between the individual grades of the midterm exams and the median grade of all midterm exams.

Answer - (D) Approximately the mean distance between the individual grades of the midterm exams and the mean grade of all midterm exams.

1. The graph below displays the amount of time to the nearest hour spent on homework per week for a sample of students. Which measures of center and variability would be most appropriate to describe the given distribution? (A) Mean and standard deviation (B) Mean and IQR(C) Median and standard deviation (D) Median and IQR (E) Median and Range

Answer - (D) Median and IQR

5. Which of the following statements is true? (A) Histograms have gaps between each bar. (B) Dotplots do not provide enough information to determine if there are outliers in the data. (C) Bar graphs can display both quantitative and categorical data. (D) Stemplots are the best graphs for displaying data sets with two variables. (E) Boxplots clearly show the five-number summary of a data set.

Answer - (E) Boxplots clearly show the five-number summary of a data set.

7. Several students in an AP Statistics class administer a survey to a sample of students in their school, asking the students how far they travel to school in miles. Which of the following statistics would not be measured in miles? (A) Mean (B) Median (C) Interquartile range (D) Standard deviation (E) Variance

Answer - (E) Variance