The figure shows population density (people per square mile) for all states of a certain country. The states are divided into four geographical regions: A, B, C, and D. Answer the questions below. D- 0 100 200 300 400 500 600 700 800 900 1000 1100 People per Square Mile Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? OA. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. B. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness. OC. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. OD. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. List the approximate median number of people per square mile for each location; for example, the median for Region A is approximately 220. The median for Region B is The median for Region C is The median for Region D is List the regions from lowest interquartile range (on the left) to highest.

Use the table for questions 1a, b,c, Number of hours spent sleeping at night 5 8 6 7 4 9 8 7 5 9 8 10 7 7 8 6 8 8 7 8 9 8 7 5 9 10 7 8 8 6   1a. Find the measurer of central tendency for the data. Mean: Median: Mode: 1b. Which measure of central tendency so you think gives the best indication of the number of hours the “typical” person spends sleeping each night? Explain 1c. Suppose another person was surveyedwho said that he spends 3 hours sleeping at night. How would this affect the mean, median and mode? 2A. Use the given data set to solve the following problems 100, 129,105,97,112,103,241,110,117,18. Find the a) mean b) median c) mode   B) What effect dose removing the outlier have on each measure of central tendency a) mean   b) Mode c) Median   3. Gray has taken an aptitude test 8 times and his scores are 96,98,105,36,87,95, and 93. Which measure of central tendency is most appropriate for his score?

Name all of the following data sets that you would expect to be skewed. I. waiting times at the bankII. salaries of teachersIII. the selling price of homes IV. fuel efficiency of compact cars II and III IandII I, II, and III IV

Use table for questions 1a, b,c, Number of hours spent sleeping at night 5 8 6 7 4 9 8 7 5 9 8 10 7 7 8 6 8 8 7 8 9 8 7 5 9 10 7 8 8 6 1a. Find the measurer of central tendency for the data. Mean: Median: Mode: 1b. Which measure of central tendency so you think gives the best indication of the number of hours the “typical” person spends sleeping each night? Explain 1c. Suppose anotherperson was surveyed who said that he spends 3 hours sleeping at night. How would this affect the mean, median and mode? 2A. Use the given data set to solve the following problems 100, 129,105,97,112,103,241,110,117,18. Find the a) mean b) median c) mode B) What effect dose removing the outlier have on each measure of central tendency? a) mean b) Mode c) Median 3. Gray has taken an aptitude test 8 times and his scores are 96,98,105,36,87,95, and 93. Which measure of central tendency is most appropriate for his score?