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4. Below is a sample of share prices (in dollars) for a particular stock, selected at random over several years: 240 270 270 270 254 236 259 268 264 242 235 232 242 232 243 259 242 255 Find the mean, median, variance, and standard deviation for this sample. Mean = Median = Variance = Standard Deviation = 8. From the stem and leaf plot below, determine the mean, median and mode(s) of the data. Record answers that are not integers to two decimal places. Since no key is provided, assume the stem separates the ones place from the tens place as usual. NOTES: (1) If there is more than one mode, list all of them, separated by commas. (2) If there is no mode, write ’None’. Mean: , Median: , Mode: 10 9 00222235 8 06 7 3 6 688 5 111556678 4 3 2 1 0 2 11. The distribution of home prices in Tucson is skewed to the left. The median price is $190,000. Specify the general location of the mean. • A. higher than $190,000 • B. lower than $190,000 • C. equal to $190,000 • D. it may fall anywhere to $190,000 12. Calculate the mean and median of the following grades on a math test: 97, 86, 86, 81, 81, 80, 80, 76, 64, 55, 38 Mean = Median = Is this data set skewed to the right, symmetric, or skewed to the left? (Enter SR, SYM, or SL); 13. The following data contains days when road rage occurred according to a study. The goal of the study is to determine when road rage occurs most often. F, Tu, F, F, Th, M, F, F, Th, Su, W, F, Th, F, F, F, M, Sa, Th, Tu, Sa, Sa, Tu, F, W, Su, F, M, Tu, W, F, W, Th, Tu, F, F, Su, Sa, M, F, F, Th, Th, M, Tu, F, Su Find the mode of the above data. Mode = 14. A random sample of 20 U.S. weddings yielded the following data on wedding costs in dollars: 9726, 33730, 27015, 19773, 34121, 7771, 19450, 8043, 22034, 26250, 6683, 10304, 25264, 12293, 30024, 18991, 11120, 22425, 32455, 33152 1. Use the sample data to obtain an estimate for the population mean wedding cost, μ, of all recent U.S. weddings. Note: The sum of the data is 410624. x¯ = 2. Is your estimate in part 1 likely equal to μ exactly (yes or no )? 3 15. Calculate the mode, mean, and median of the following data: 16, 17, 16, 6, 12, 999, 13, 16 Mode = Mean = Median = population mean = population standard deviation = 17. The length (in pages) of math research projects is given below. Using this information, calculate the range, sample variance, and sample standard deviation. 27, 30, 299, 20, 19, 21, 16, 16, 13 range = variance = standard deviation = 18. Data set A: Which measure of center does not work well here? 74,76,77,79,80,83 • A. Mode • B. Median • C. Mean • D. All of the above 16. Data set B: Data set C: 14,14,18,20,25,28 5,6,7,7,7,9 The length (in pages) of math research projects is given below. Using this information, calculate the mean and the standard deviation regarding the data set as a sample. Above are three different data sets. Without calculating anything, decide which set A, B, or C has the smaller standard deviation. Just enter the letter of the data set as your answer. 18, 36, 32, 18, 15, 23, 29, 25, 20 19. Consider the following frequency table regard- ing highway mileage for 37 small cars sample mean = sample standard deviation = Now use the same data set, but this time regard it as a population. Calculate the mean and the standard deviation. Find the mean of the grouped data. Mean = Mileage (miles per gallon) Frequency 31 5 36 9 41 5 46 18

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