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Unformatted text preview: 1  P a g e 1. A used car lot evaluates their cars on a number of features as they arrive in the lot in order to determine their worth. Among the features looked at are miles per gallon (MPG), make and model (ie. Toyota Camry), number of cylinders, horsepower, weight, and year made. List these variables and state whether each is quantitative or categorical. Quantitative Catergorical MPG make # of cylinders model horsepower weight year 2. High temperatures for 35 major US cities were collected for January 23, 2006 and were put into the stem plot below with leaf unit=1.0. 1 3 4 5 3 6689 11 4 001122 17 4 566678 (3) 5 1 1318 th position is 51 15 5 678899 9 6 04 7 6 8 6 7 12 4 7 889 1 8 3 a) What is the minimum, median and maximum for this dataset? min: 34 x 1.0 = 34 position of median: ¡¢ £ ¤ ¥ ¦§¡¢ £ ¤ ¢¨ max: 83 x 1.0 = 83 M = 51 x 1.0 = 51 b) Find the range for this dataset. Range = max – min 83 – 34 = 49 2  P a g e 3. Test scores for a class of 15 economics students were as follows: 86 95 78 93 34 58 65 68 72 98 92 84 73 84 91 34 58 65 68 72 73 78 84 84 86 91 92 93 95 98 ¡ M ¢ a) Find the mean, median, and mode. £ ̅ = 78.06 Pos. med. = ¤ ¥¦§¥ ¨ © ª Mode =84 M = 84 b) Find the IQR, range, standard deviation and variance. IQR = ¢ ¡ range: 98 – 34 = 64 s = 17.07 « ¬ = 291.39 92 – 68 = 24 c) Create a stem and leaf plot. 3 4 4 5 8 6 5 6 7 2 3 8 8 4 4 6 9 1 2 3 5 8 d.) Create a boxplot. 30 40 50 60 70 80 90 100 4. As they left the movie theater in Gainesville, 17 people were asked how long they had to wait in line for their tickets. a.) What is the population of interest? All Gainesville residents that go to the movie theater 3  P a g e b.) What is the sample? 17 people c.) What is the variable being measured? Time spent in line d.) Is this variable discrete quantitative, continuous quantitative or categorical? continuous quantitative The results of the above question were as follows: Minutes Frequency 16 12 8 4 6 5 4 3 2 1 Histogram of Minutes e) Describe the shape, center, and spread of this histogram. Shape: Skewed right Center: 4 to 6 Spread: 0 to 18 f) Are there any outliers? The value at 18 is might be considered an moderate outlier. 2 6 14 18 4  P a g e 5. Last year a small accounting firm paid each of its five clerks $22,000, two junior accountants $50,000 each, and the firm’s owner $270,000. a) What is the mean salary paid at the firm? ̅ = 60,000 b) How many employees earn less than the mean? 7 employees earn less than the mean c) What is the median salary? ¡ ¢¢£¤¤¤¥¢¢£¤¤¤ ¢ ¦ ¢¢£¤¤¤ d) What does this tell us about the mean and the median? The mean is affected by outliers, but the median is not....
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This note was uploaded on 01/30/2011 for the course STA 2023 taught by Professor Ripol during the Spring '08 term at University of Florida.
 Spring '08
 Ripol

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