# MATHEMATICS

1.) Two thousand frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 107 liked Indianapolis best, 454 liked Saint Louis, 1370 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. (Round relative frequency to 3 decimal places.) City Frequency Relative Frequency Indianapolis St. Louis Chicago Milwaukee 2.) In June an investor purchased 350 shares of Oracle (an information technology company) stock at $22 per share. In August she purchased an additional 420 shares at $25 per share. In November she purchased an additional 510 shares at $31 per share. What is the weighted mean price per share? (Round your answer to 2 decimal places. Omit the “$” sign in your response.) The weighted mean is $ 3. Sally Reynolds sells real estate along the coastal area of Northern California. Below is the total amount of her commissions earned since 2000. Year Amount (thousands) 2000 $237.51 2001 233.8 2002 206.97 2003 248.14 2004 164.69 2005 292.16 2006 269.11 2007 225.57 2008 255.33 2009 202.67 2010 206.53 Find the mean, median, and mode of the commissions she earned for the 11 years. (Round your answers to 2 decimal places.) Mean Median Mode 4.The unemployment rate in the state of Alaska by month is given in the table below: Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec 7.00 7.20 6.60 8.80 7.40 7.60 7.50 8.30 7.10 7.20 7.80 8.60 (a) What is the arithmetic mean of the Alaska unemployment rates? (Round your answer to 2 decimal places.) Arithmetic mean (b) Find the median and the mode for the unemployment rates. (Round your answers to 2 decimal places.) Median Mode 5.) A sample of the personnel files of eight employees at the Pawnee location of Acme Carpet Cleaners, Inc., revealed that during the last six-month period they lost the following number of days due to illness: 5 5 4 4 1 2 0 6 A sample of eight employees during the same period at the Chickpee location of Acme Carpets revealed they lost the following number of days due to illness. 2 1 0 10 2 2 3 0 (a) Calculate the range, mean and mean deviations for the Pawnee location and the Chickpee location.(Round mean and mean deviation to 2 decimal places.) Pawnee location Chickpee location Range Mean Mean deviation (b-1) Based on the sample data, which location has fewer lost days? (b-2) Based on the sample data, which location has less variation? 6. The annual report of Dennis Industries cited these primary earnings per common share for the past 5 years: $2.29, $1.18, $2.22, $4.42, and $3.4. (a) What is the arithmetic mean primary earnings per share of common stock? (Round your answer to 2 decimal places.) Arithmetic mean (b) What is the variance? (Round your answer to 2 decimal places.) Variance The distribution of the weights of a sample of 1,500 cargo containers is symmetric and bellshaped. (a) According to the Empirical Rule, what percent of the weights will lie between and ?(Omit the “%” sign in your response.) Percent of the weights % (b) According to the Empirical Rule, what percent of the weights will lie between and ? (Round your answer to 2 decimal places. Omit the “%” sign in your response.) Percent of the weights % (c) Below ? (Round your answer to 2 decimal places. Omit the “%” sign in your response.) Percent of the weights % 7.)