11. The following list contains the average annual total returns (in percentage points) for 23 mutual funds. The mutual funds appear in an online brokerage firm's "all-star" list. 7, -3, -3, 2, 3, 5, 5, 6, 12, 12, 12, 14, 17, 18, 19, 24, 24, 24, 25, 29, 33, 33, 38 equency 10 20 Annual total return (in percent) Answer the questions below. (a) For these data, which measures of central tendency take more than one value? Median Choose all that apply. DMode ONone of these measures (6) Suppose that the measurement 38 (the O Mean replaced by $2 Which mas Here were Median tendency would be affected by the change? D Mode Choose all that apply. ONone of these measures prose that, starting with the original Mean ved, Which means were Media tendency would be changed from those Mode the original data set? Choose all that apply. ONone of these measures 12. The following are all 5 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 6, 5, 5, 5,9 Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places. 13. The 5 participants in a 200-meter dash had the following finishing times (in seconds). 26, 27, 24, 26, 32 Assuming that these times constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places. 14. Here are the shopping times (in minutes) for a sample of 5 shoppers at a particular shoe store. 25, 21, 23, 41, 20 Find the standard deviation of this sample of shopping times. Round your answer to two decimal places. 5. A private college advertised that last year their freshman student rage, had a score of 1160 on the college entrance exam. Assuming that average refers to the mean, which of the following laims must be true based on this information? lote: More than one statement could be true. If none of the statements is true, mark the appropriate box. Last year at least one of their freshman students had a score of exactly 1160 on the exam. Last year, the number of their freshman students who had a score of 1160 or above on the exam was equal to the number of their freshman students who had a score of 1160 elow on the exam. Last year at least one of their freshman students had a score of less than Next year some of their freshman students will have of at least 1160 on the exam. eir freshman students had a score of at least 1160 on the exam. None of the above statements are true. 6. An investment company advertised that last year its clients, on average, made a profit of 10% Assuming that average refers to the mean, which of the following claims must be true based on this information? Note: More than one statement e statements is true, mark the appropriate box. O) Last year all of their clients made a profit of less than 17%. Last year at least one of their clients made a profit of at least 10%. two years ago some of their clients made a profit of at least 10% or less was equal to the number of their clients who made a profit of 10% or more. Last year at least one of their clients made a profit of exactly 10%. None of the above statements are true. 17. To begin to better understand per manufacturer has asked 18 adults to rate their most recent headache on a scale of 0 to 100 (with 0 corresponding to no pain and 100 corresponding to the greatest pain the person here are the 18 ratings. 14, 17, 17, 18, 19, 22, 24, 25, 35, 35, 38, 45, 47, 57, 61, 72, 84, 90 equency 3 20 Headache rating 80 Answer the questions below. O Mean (a) Which measures of central tendency do not exist for this data set? Choose all that Mediar apply. OMode DAll of these measures exist (b) Suppose that the measurement 90 (the largest measurement in the data set) were Mediar tendency would be affected by the change? OMode Choose all that apply. None of these measures (c) Suppose that, starting with the original Mean Mediar tendency would be changed from those of OMode the original data set? Choose all that apply. None of these measures 18. The serum cholesterol levels (in my) of 18 individuals are 237, 218, 247, 235, 225, 211, 254, 191, 215, 201, 257, 208, 230, 249, 259, 189, 252, 196 Find 20th and 75 percentiles for these cholesterol levels. (a) The 20th percentile: (b) The 75th percentile: 9. The red blood cell counts (in 10' cells per microliter) of a healthy adult measured on 6 days are as follows. 54, 48, 53, 52, 51, 54 Find the standard deviation of this sample of counts. Round your answer to two decimal places. 20. The following are the P/E ratios (price of stock divided by projected earnings per share) for 17 banks. 29, 15, 31, 34, 25, 29, 38, 18, 15, 22, 20, 23, 22, 18, 14, 22, 22 Find 20th and 75th percentiles for these ratios. (a) The 20th percentile: [ (b) The 75th percentile