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Math 2 April 10th and 11th, 2012 Unit 4 Statistics Name ________________________________ Use this line plot for questions 1 – 3. This line plot shows the ages of a sample of dancers in a contest. 1. What is the mean age of the dancers? (A) 14.5 (B) 14 2. 3. (C) 13.5 (D) 11.6 What is the approximate variance of the dancers’ ages? (A) 1.35 (B) 2.92 (C) 3.71 (D) 3.9 What is the approximate standard deviation of the dancers’ ages? (A) 1.16 (B) 1.45 (C) 1.708 (D) 1.9 Use this data for questions 4 and 5. The table below shows the heights in inches of samples of players taken from two basketball teams. 4. What best describes the sample standard deviation for the Falcons? (A) 2 (B) 3.74 (C) 4.18 5. (D) 70 Which statement accurately compares the data? (A) The mean height is the same for both teams. (B) The mean height is greater for the Falcons than for the Eagles. (C) The sample standard deviation is the same for both teams. (D) The data set for the Falcons is more variable than the data set for the Eagles. Use the chart for questions #6 – 8. The number of cars sold by 20 salespeople in one week are recorded in the chart provided. 6. In a frequency distribution of this data, how many data values are in the bin 4 – 6? (A) 3 (B) 7 (C) 4 (D) 5 7. In a histogram of this data, which bar would have the greatest height? (A) 4 – 6 (B) 6 – 8 (C) 8 – 10 (D) 10 – 12 What is the median of the data? (A) 6.8 (B) 6 (D) 7.5 8. (C) 7 9. If the mean score on an IQ test is 104 and the standard deviation is 7, which score will occur less than 5% of the time? (A) 89 (B) 93 (C) 97 (D) 116 10. For a certain population, the mean score on the SAT is 430, with a standard deviation of 108. Which of the following scores might represent the 80th percentile? (A) 400 (B) 520 (C) 580 (D) 675