Bronx Community College of The City University of New York
Department of Mathematics and Computer Science
Math 23 Review Sheet.
1. Classify each of the following data according to the level of measurement (that is state whether it is
nominal, ordinal, interval, or ratio):
(a) The telephone numbers in a telephone directory.
(b) The scores of a class in an exam.
(c) Absolute temperatures (that is temperatures measured in Kelvin degrees).
(d) Motion Picture Association of America Ratings Description (G, PG, PG-13, R, NC-17).
(e) Average Monthly precipitation in inches for New York, NY.
(f) Average Monthly temperature (in degrees Fahrenheit) for New York, NY.
2. A group of 25 people were observed regarding their TV habits and were found to spend the following
number of hours per week watching television:
30 32 34 36 36
37 39 39 41 41
42 42 43 43 44
45 45 45 46 47
47 49 49 52 53
In order to display the data in clearer form,
(a) determine the class width for four (4) classes,
(b) construct a frequency distribution showing the class limits for the four classes,
(c) in the table, show the class boundaries and the class marks,
(d) construct a histogram, labeling the class boundaries,
(e) then draw the frequency polygon showing the class marks.
3. A consumer testing service obtained the following mileage (in miles per gallon) in five test runs for three
different types of compact cars:
First Second Third Fourth Fifth
Run Run Run Run Run
Car A 28 32 28 34 30
Car B 31 31 29 29 31
Car C 32 29 28 32 30
(a) If the manufacturer of Car A wants to advertise that their car performed the best in this test, which
“average” (mean, median or mode) should be used to support their claim?
(b) What “average” should the manufacturer of Car B use to claim that their car performed best?
(c) What “average” should the manufacturer of Car C use to support a similar claim?
4. Florida’s age distribution has mean value µ= 39.2 and standard deviation σ= 24.8 (measured in years).
Use Chebyshev’s theorem to find an interval such that
