Overview of Statistics
Describing Data Visually
Please provide detailed solutions to the following problems/exercises (4 problems/exercises x 8 points each):
1) What type of data (categorical, discrete numerical, or continuous numerical) is each of the following variables?
a) Length of a TV commercial.
b) Number of peanuts in a can of Planter’s Mixed Nuts.
c) Occupation of a mortgage applicant.
d) Flight time from London Heathrow to Chicago O’Hare.
2) Which measurement level (nominal, ordinal, interval, ratio) is each of the following variables? Explain.
a) Number of employees in the Walmart store in Hutchinson, Kansas.
b) Number of merchandise returns on a randomly chosen Monday at a Walmart store.
c) Temperature (in Fahrenheit) in the ice-cream freezer at a Walmart store.
d) Name of the cashier at register 3 in a Walmart store
e) Manager’s rating of the cashier at register 3 in a Walmart store.
f) Social security number of the cashier at register 3 in a Walmart store.
3) The results of a survey that collected the current credit card balances for 36 undergraduate college students are given in the file “College Credit Card.’
a) Using the 2k > n rule, construct a frequency distribution for these data.
b) Using the results from a), calculate the relative frequencies for each class.
c) Using the results from a), calculate the cumulative relative frequencies for each class.
d) Construct a histogram for these data.
4) The cost of manufacturing vehicles in Mexico is very attractive to automakers. Global carmakers build approximately 1.9 million vehicles in Mexico. Of these, nearly 76% are exported, primarily to the US. Although General Motors is the largest manufacturer in Mexico, Daimler Chrysler exports the most vehicles. Automotive analysts examine both the number of vehicles produced and the number exported (see the data file “Automotive”) to determine the potential market share of each company.
a) For the data on vehicles produced in Mexico, construct a bar chart displaying the amount produced by each company.
b) Repeat part a) using a pie-chart.
c) Construct a bar chart displaying the number of vehicles exported from Mexico.
d) Repeat part d) using a pie-chart.
e) Do you prefer the bar charts or the pie charts for displaying the data? Explain.
f) What differences do the charts reveal for the automotive companies with respect to the number of vehicles produced and number of vehicles exported?
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- Submitted On 04 Jul, 2015 01:15:14