Question

Chapter 3 Statistics for Describing, Exploring and Comparing Data Name: 1. The given data represent the number of people from a town, aged 25-64, who subscribe to a print magazine. Age People (Frequency of Midooint y 10 25-34 163 35-44 694 45 - 54 533 55-64 162 Total N/A (a) Construct a frequency polygon using the data. (b) Applying a loose interpretation of the requirements for a normal distribution, does the data appear to be normal distributed? Why or why not? (c) Find the mean of the data summarized in the given frequency distribution. 2. Listed below are the annual tuition amounts of the 10 most expensive colleges in a country for a recent year. $52,797 $53,816 $53,989 $53,906 $53,864 $53,171 $52,087 $52,661 $51,622 $53,989 (a) Find the mean (Round to one decimal places as needed.) (b) Find the midrange. (Round to one decimal places as needed.) (c) Find the median (Round to one decimal places as needed.) (d) What is (are) the models)? 3. Usted below are the top 10 annual salaries in millions of dollars) of TV personalities. T 38 36 34 7 18 16 14 1 10.7 (a) Find the range of the sample data? (Round to one decimal places as needed.) 10.1 (b) Find the sample variance of the sample data? (Round to two decimal places as needed.) (C) Find the sample standard deviation of the sample data? (Round to two decimal places as needed.) 4. A certain group of test subjects had pulse rates with a mean of 73.8 beats per minute and a standard deviation of 10.8 beats per minute. Would it be unusual for one of the test subjects to have a pulse rate of 45.4 beats per minute? (a) What is the minimum "usual" value? (b) What is the maximum "usual" value? © Is 45.4 beats per minute an unusual pulse rate? Explain. 5. Below are 33 sorted ages of an acting award winner. 27 NA (a) Find the percentile corresponding to age 27. (Round to the nearest integer as needed.) (b) Find the value of the 35 percentile P 6. Blood platelet counts of women have a bell-shaped distribution with a mean of 280 and a standard deviation of 65, (All units are 1000 cells/AL.) What conclusion you can draw from empirical rule? 7. IQ sores have a mean of 100 and a standard deviation of 15. What can we conclude from Chebyshev's theorem? 8. Fourteen different second-year medical students at a hospital measured the blood pressure of the same person. The systolic readings (mm Hg) are listed below. 146 136 135 126 120 125 131 130 123 124 125 140 127 150 (a) Find the 5-number summary. (b) Construct a regular boxplot. 9. The following data representing tornadoes per year in Oklahoma from 1995 until 2004 to construct a modified box plot. 18 44 47 55 61 62 78 79 83 145 (a) Find the 5-number summary. (b) Find the lower outlier boundary and the upper outlier boundary. Find the outliers if exists (c) Find the minimum and maximum. Construct a modified boxplot.