PROJECT: DESCRIPTIVE STATISTICS FOR QUANTITATIVE DATA

Project:  A hybrid vehicle has two types of engines, gas and electric.  Today, they can be purchased in sedan, sport utility vehicle (SUV), or crossover models.

 Objective:  Use Descriptive Statistics to organize raw data into a table, make graphs, find measures of central tendency, dispersion, and outliers.

A sample of hybrid vehicle prices and mileage (city / hwy) produced the following results.

Cadillac Escalade 2WD:  $70,735 20 / 21   Lexus GS450h:  $56,400 22 / 25
Cadillac Escalade 4WD:  $73,285 21 / 21   Lexus GS600:  $105,885 20 / 22
Chevy Malibu:  $24,695 26 / 34   Lexus RS FWD:  $41,600 28 / 32
Chevy Tahoe 2WD:  $50,455 21 / 22   Lexus RS AWD:  $43,250 28 / 30
Chevy Tahoe 4WD:  $53,260 20 / 20   Mazda Tribute 2WD:  $29,175 31 / 34
Chrysler Aspen $44,770 19 / 20   Mazda Tribute 4WD:  $33,145 27 / 29
Dodge Durango: $44,540 19 / 20   Mercury Mariner 4x2:  $29,995 31 / 34
Ford Escape 2WD:  $29,750 31 / 34   Mercury Mariner 4x4:  $31,745 27 / 29
Ford Escape 4WD:  $31,500 27 / 29   Mercury Milan:  $27,500 36 / 41
Ford Fusion:  $27,270 36 / 41   Nissan Altima:  $26,650 33 / 35
GMC Yukon 2WD:  $50,920 21 / 22   Saturn AURA:  $24,930 26 / 34
GMC Yukon 4WD:  $53,730 20 / 20   Saturn VUE:  $26,955 25 / 32
Honda Civic:  $23,550 40 / 45   Toyota Camry:  $26,150 33 / 34
Honda Insight:  $19,800 40 / 43   Toyota Highlander:  $34,700 25 / 27
Lexus HS:  $34,200 34 / 35   Toyota Prius: $22,070 45 / 48

Perform the following operations.
I.  Using Prices as data:
     A.  Sort the data in ascending order

     B.  Make a table with seven classes.

     C.  Use the table in Part B to construct a:
          1.  Relative frequency polygon.
          2.  Frequency histogram.
             Note:  You can use software (Excel, MINITAB, etc.) or draw them by hand using graph paper.

     D.  Use your calculator to calculate the following descriptive statistics.
          1.  Mean
         2.  Standard Deviation
         3.  Median
         4.  First Quartile
          5.  Third Quartile

     E.  Use the values from Part D to
           1.  Construct an IQR boxplot.
           2.  Determine which data values, if any, are outliers.

II.  Using City Mileage as data:
       A.  Sort the data in ascending order

      B.  Make a table with seven classes.

      C.  Use the table in Part B to construct a relative frequency histogram.
          Note:  You can use software (Excel, MINITAB, etc.) or draw them by hand using graph paper.

      D.  Calculate the:
           1.  mean          2.  median

      E.  Which measure of "Average" do you feel best describes the City Mileage for a hybrid vehicle?

 

Select the TI-83 calculator to view how to use the STAT programs to do this project.