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AP Statistics Monday, 09-27-2010

AP STATISTICS Test Topics: Chapter 4. . Test Topics: Chapter 4. Calculate mean and median.Calculate trimmed mean.Calculate variance and standard deviation.Population vs. Sample.Given a data set, define the quartiles.Interpret a box plot.Know the resistant measures to outliers.Apply Chebysh

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AP Statistics Monday, 09-27-2010

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    1. AP Statistics – Monday, 09-27-2010 OBJECTIVE To review for tomorrow’s test (sec. 4.1 – 4.4). STUDY notes, quiz, PowerPoints, textbook, etc.

    2. AP STATISTICS Test Topics: Chapter 4

    3. Test Topics: Chapter 4 Calculate mean and median. Calculate trimmed mean. Calculate variance and standard deviation. Population vs. Sample. Given a data set, define the quartiles. Interpret a box plot. Know the resistant measures to outliers. Apply Chebyshev’s Rule.

    4. Test Topics: Chapter 4 Calculate z-scores. Know the characteristics of z-scores. Know the Empirical Rule. Calculate percentiles using Chebyshev’s Rule and z-scores.

    5. AP Statistics Review Sec. 4.1 & 4.3 If the answer is true, write TRUE in the blank. If the answer is false, write the word (in the blank) to replace the boldfaced, underlined word that makes the statement true. ___ 1) The best description of center for a skewed distribution is the mean. ___ 2) The mean and median are equal in a symmetrical distribution. ___ 3) The median must be an actual data value. ___ 4) The mean is the midpoint of a distribution. ___ 5) In a distribution that is negatively skewed, the mean is greater than the median. ___ 6) The sum of the deviations from the mean equals one.

    6. Multiple Choice _____ 7) A set of data has a median that is much larger than the mean. Which of the following statements is most consistent with this information? a) A stemplot of the data is symmetric. b) A stemplot of the data is skewed right. c) A stemplot of the data is skewed left. d) The data set must be so large that it would be better to draw a histogram than a stemplot.

    7. ___8) A reporter wishes to portray baseball players as overpaid. Which measure of center should he report as the "average" salary of major league players? a) the mean b) the median c) either the mean or the median, since they will be equal d) neither the mean nor the median, since they will both be much lower than the actual average salary

    8. ___9) Dewey, Cheatum, and Howe are medical-injury lawyers. Dewey's last four cases had an average settlement of $200,000, while Cheatum's and Howe's last five cases had average settlements of $600,000 and $300,000, respectively. What is the firm's average settlement for these cases? a) $350,000 b) $400,000 c) $366,666.67 d) None of the above

    10. Boxplots for the weekly percentage change in the closing prices of Coca-Cola stock, McDonald’s stock, and Disney stock for January to June in 1997 are shown below. 11) Which stock was more volatile during the period from January to June? Explain. 12) Which stock had more weekly declines than weekly increases? Explain.

    12. 13) At Center Hospital there is come concern about the recent turnover of clerical staff. A survey of 20 clerical staff was done to determine how long they had been in their current positions. The responses (given in months) were: 25 22 7 24 26 31 20 24 27 20 31 42 6 25 22 29 32 15 72 3 Construct a modified box plot and describe the graph in context.

    13. QUIZ: Sec. 4.1 & 4.3 symmetrical true mode median less than zero C A D a) 28.275 b) 29.5 c) 32 d) 28.611 e) * Bimodal; * (Slightly) skewed left; * No outliers Coca-Cola: It had the largest spread of weekly percentage change in closing price. McDonald’s: It’s median was the only negative percentage change, meaning there were more weekly declines than weekly increases. The box plot needed to be drawn and labeled. * The distribution is (positively) skewed. * Outliers occur at 3 months and 72 months. *The median is 24.5 months; the mean is 25.15 months.

    14. AP Review – Center, Spread, Boxplots 1) Suppose the average score on a national test is 500 with a 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, 100

    15. 2) Suppose the average score on a national test is 500 with a standard deviation of 100. If each score is increased by 25%, what are the new mean and standard deviation? A) 500, 100 D) 625, 105 B) 525, 100 E) 625, 125 C) 625, 100

    16. 3) In a certain southwestern city the air pollution index averages 62.5 during the year with a standard deviation of 18. Assuming that the empirical rule is appropriate, the index falls within what interval 95% of the time? A) (8.5, 116.5) D) (45.4, 79.6) B) (26.5, 98.5) E) There is C) (44.5, 80.5) insufficient information to answer this question.

    17. 4) 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) 0.96 D) 4.04 B) 1.31 E) None of these C) 1.94

    18. 5) Suppose the average height of policemen is 71 inches with a standard deviation of 4 inches, while the average height for policewomen is 66 inches with a standard deviation of 3 inches. If a committee looks at all ways of pairing up on male with one female officer, what will be the mean and standard deviation for the difference in heights for the set of possible partners? A) Mean of 5 inches with a standard deviation of 1 inch B) Mean of 5 inches with a standard deviation of 3.5 inches C) Mean of 5 inches with a standard deviation of 5 inches D) Mean of 68.5 inches with a standard deviation of 1 inch E) Mean of 68.5 inches with a standard deviation of 3.5 inches

    20. 7) When a set of data has suspect outliers, which of the following are preferred measures of central tendency and of variability? A) mean and standard deviation B) mean and variance C) mean and range D) median and range E) median and interquartile range

    21. 8) If the standard deviation of a set of observations is 0, you can conclude A) that there is no relationship between the observations. B) that the average value is 0. C) that all the observations are the same value. D) that a mistake in arithmetic has been made. E) none of the above.

    22. 9) A teacher is teaching two AP Statistics classes. On the final exam, the 20 students in the first class averaged 92 while the 25 students in the second class averaged only 83. If the teacher combines the classes, what will the average final exam score be? A) 87 B) 87.5 C) 88 D) 85 E) There is insufficient information to answer this question.

    25. AP Review – Center, Spread, Boxplots C E B A C B E C A B C A

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