AP Statistics Composition Book Review Chapters 1 2

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1 AP Statistics Composition Book Review Chapters 1 2 Terms/vocabulary: Explain each term with in the STATISTICAL context. Bar Graph Bimodal Categorical Variable Density Curve Deviation Distribution Dotplot Empirical Rule Five Number Summary Histogram Interquartile Range Light-tailed Distribution Linear Transformation Lower quartile Mean Median Mode Normal Distribution Normal Probability Plot Ogive (Cumulative Frequency Distribution) Outlier Pie Chart Positively Skewed Distribution Quantitative Variable Range Relative Frequency Sampling Variability Variance Standard Deviation Standard Normal Distribution Stemplot Symmetric Distribution Trimmed Mean Unimodal Distribution Upper Quartile Z Score Multiple choice: Choose the best answer for each of the following, do something to indicate reasoning behind your answer (show work, write a sentence, etc) 1. Following are the SAT math scores for an AP Statistics class of 20 students: 664, 658, 610, 670, 640, 643, 675, 650, 676, 660, 575, 661, 520, 667, 668, 635, 671, 673, 645, and 650. The distribution of scores is: A) symmetric D) skewed to the left B) skewed to the right E) uniform C) bell-shaped 2. Consider the following histogram: Which of the statements are true? I. Each year from 1977 to 1986 the number of indictments has steadily decreased. II. While the number of indictments has decreased each year, the amount of decrease has lessened. III. The labeling of the horizontal axis has resulted in a misleading picture. A) I only D) I and II B) II only E) None of the above gives the complete list C) III only

2 3. Suppose the average score on a national test is 500 with standard deviation of 100. If each score is increased by 25, what are the new mean and standard deviation? A) 500, 100 D) 525, 105 B) 500, 125 E) 525, 125 C) 525, The average cost per ounce for glass cleaner is 7.7 cents with a standard deviation of 2.5 cents. What is the z-score of Windex with a cost of 10.1 cents per ounce? A).96 D) 4.04 B) 1.31 E) none of these C) Which of the following statements are true? I. If the right and left sides of a histogram are mirror images of each other, then the distribution is symmetric II. A distribution whose peak is far to the right is said to be skewed to the right III. If a distribution is skewed to the right, then the mean is greater than the median A) I only D) II and III B) I and II E) none of the above gives the complete set C) I and III 6. The first 115 Kentucky Derby winners by color of horse were as follows: roan, 1; gray, 4; chestnut, 36; bay, 53; dark bay, 17; and black 4. Which of the following visual displays is most appropriate? A) Bar Chart C) Stemplot B) Histogram D) Boxplot 7. Consider the following back-to-back stemplots comparing car battery lives (in months) of samples of two popular brands. Which of the following are true statements? I. the sample sizes are the same II. the ranges are the same III. the variances are the same IV. the means are the same V. the medians are the same A) I and II D) III and V B) I and IV E) I, II, and III C) II and V

3 8. When a set of data has suspect outliers, which of the following are preferred measures of central tendency and of variability? B) mean and standard deviation D) median and range C) mean and variance E) median and interquartile range D) mean and range For questions 9 and 10 consider the following parallel boxplots of gasoline mileage for three car makes: 9. Which of the following are true statements? I. all three have the same range II. all three have the same interquartile range III. the differences in the medians between the first and third distributions is equal to the interquartile range of the second distribution A) I and II D) I, II, III B) I and III E) none gives the complete set C) II and III 10. Which of the following are true statements? I. all three are symmetric II. the first is skewed to the left while the third is skewed to the right III. the second is skewed on both sides A) I only D) II and III B) II only E) none gives the complete set C) III only 11. The mean income per household in a certain state is $9500 with a standard deviation of $1750. The middle 95% of incomes are between what two values? A) $4250 and $14750 D) $7750 and $11250 B) $6000 and $13000 E) $8049 and $10951 C) $6621 and $12379

4 12. Consider the following two normal curves: Which has the larger mean and which has the larger standard deviation? A) Larger mean, a; larger standard deviation, a. B) Larger mean, a; larger standard deviation, b. C) Larger mean, b; larger standard deviation, a. D) Larger mean, b; larger standard deviation, b. E) Larger mean, b; same standard deviation. Free Response: Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy of your results and explanation. 13. Five hundred randomly selected middle-aged men and five hundred randomly selected young adult men were rated on a scale from 1 to 10 on their physical flexibility, with 10 being the most flexible. The ratings appear in the frequency table below. For example, 17 middle-aged men had a flexibility rating of 1. Physical Flexibility Rating Frequency of Middle-Aged Men Frequency of Young Adult Men A) Display these data graphically so that the flexibility of middle-aged men and young adult men can be easily compared. B) Based on an examination of your graphical display, write a few sentences comparing the flexibility of middle-aged men with the flexibility of young adult men.

5 14. An automotive service shop reported the summary statistics shown for repair bills (in dollars) for their customers last month. Min 27 Q1 88 A) Were any of the bills outliers? Show how you made Med 132 your decision. Q3 308 B) After checking out a problem with your car the Max 1442 service manager gives you an estimate of only Mean 284 $90. Is he right to imply that your bill will be SD 140 unusually low? Explain briefly. APStats Comp Book Score Sheet Chapter Complete on Time (2) Vocabulary (2) Problems copied (1) All Work Shown (3) Corrections Made (2) Summary (4) TOTAL (14 points) Name