AP Stats- Chapter 1

13. The age of the United States Presidents at their inaugurations is displayed in this cumulative proportions graph. What is the approximate interquartile range (IQR)?

B) 8

31. The histogram below displays a set of measurements. Which of the boxplots below displays the same set of measurements?

(D)

19. The following statistics were produced at the end of the week at a weight loss center indicating pounds lost. mean= 5 lbs median= 7 lbs mode= 4 lbs first quartile= 2 lbs third quartile=8.5 lbs standard deviation=0.5 lbs Which of the following statement(s) are correct? I. One quarter of weight watchers lost 2 pounds or less. II. The middle 50% of the weight watchers lost between 2 and 8.5 pounds. III. The most common weight loss was 4 pounds.

E) I, II, and III

7. If the standard deviation of a set of data is zero, we can conclude that

E) all the oberservations are the same

10. Which distribution above has the smallest standard deviation? (A) A only (B) B only (C) C only (D) A and B only (E) A, B, and C

(B) B only

24. The stemplot below summarizes the number of gold medals earned by 40 countries in the Winter Olympics for 1924-1998. The data depicts a distribution that is

(B) skewed to the right

3. Which of the following is more likely to be true of this distribution? (A) Mean=3 Median=3 Mode=3 (B) Mean=3.5 Median=4 Mode=3 (C) Mean=4 Median=3.5 Mode=3 (D) Mean=3.5 Median=3.5 Mode=5 (E) Mean=3 Median=2 Mode=5

(C) Mean=4 Median=3.5 Mode=3

35. The grades on a statistics exam were raised five points on each student's paper. This adjustment in the students' grades resulted in I. increasing the class mean by five points II. increasing the class median by five points III. increasing the standard deviation by five points

D) I and II only

10. The boxplots above summarize two sets of data, A and B. Which of the following must be true? I. Set B contains more observations than Set A. II. Set A has a larger range than Set B. III. Set A and Set B have the same median.

D) II and III only

1. The boxplots shown below summarize two sets of data, X and Y. Which of the following must be true?

D) The data in Set Y have a smaller range than the data in Set X.

15. Which of the following statements best describes the following histograms?

E) Histogram C suggests a left-skewed distribution

8. This histogram shows the ages of cars in the parking lot at a local high school. Which of the following statements are TRUE? I. The mean age is greater than the median age. II. The median age is greater than the mean age. III. The median is between 6 and 8 years.

E) II and III

5. Consider the following test scores: Class A: 65, 72, 73, 73, 74, 82, 92 Class B: 60, 65, 79, 81, 85, 86, 86 Which of the following is a true statement?

E) The ranges are the same, but class B has the higher standard deviation

22. A data set's five-number summary is given below: minimum=22 first quartile=31.2 median=44.5 third quartile=59.8 maximum=67 There are no outliers in this data set. Which of the following conclusions can be drawn from the data? I. The mean is less than 44.5 II. Approximately 25% of the stores are above 59.8 III. Approximately 50% of the scores lie between 31.2 and 59.8. (A) I only (B) II only (C) II and III (D) III and IV only (E) I, III, and IV

(D) III and IV only

11. In which distribution(s) would you be more likely to find the mean and median the same? (A) A only (B) B only (C) C only (D) A and B only (E) A, B, and C

(E) A, B, and C

20. Which statement is true about the boxplot below? I. It is a left skewed distribution which has outliers. II. It is a symmetrical distribution which has outliers. III. The interquartile range is less than 1. IV. Approximately 75% of the observations have a GPA of less than 3. (A) I only (B) II only (C) II and III (D) III and IV only (E) I, III, and IV

(E) I, III, and IV

36. Refer to the following back-to-back stem-and-leaf plot: Which of the following are true? I. The medians of the distributions are the same. II. The averages of the distributions are the same. III. The ranges of the distributions are the same.

A) I only

31. When a national magazine rated a particular university as its choice for the #1 school in the nation, it stated the average salary of its graduates. The distribution of salaries was unimodal and skewed right. Later it was determined that the figure stated was inflated due to the salary of one alumnus whose income was considered an outlier. If the outlier is removed, which of the following would definitely remain the same?

A) mode

37. On a science examination given to 100 students, 50 earned scores of 90. Most of the other students scored 80, and the remaining students scored 20. Which of the following statements is true about the distribution of the scores?

B) The median is greater than the mean.

33. Which of the following is a resistant measure?

B) median

28. A set of data has the following five-number summary: minimum=17, first quartile=27, median=40, third quartile=49, maximum=90 Which of the sets of numbers below contain ALL outliers?

C) 83, 85, 90

3. In a recent poll adults were asked to estimate the percentage of children who live in poverty in the United States. The mean response was 7% and the median was 12%. What does this suggest about the shape of the distribution of responses?

C) The distribution is most likely skewed to the left.

35. Which of the following statements are true if one is constructing a histogram?

C) The heights of the bars should relate to the frequency of each class.