1. Determine whether the data described below are qualitative or quantitative and explain why.
The postal codes of survey The data are qualitative because they don’t measure or count
anything
2. The brands of peanut butter eaten in households surveyed by a consumer research company.
The data are qualitative because they don’t measure or count anything.
3. The number of car accidents on a given stretch of highway each year. The data are discrete
because the data can only take on specific values.
4. The weights ( in tons) of the trees in a forest. The data are continuous the data can take on
any value in an interval.
5. Types of movies (drama, comedy, ect.) Nominal
6. The cities in a region. Nominal
7. A movie with a 4-star rating is twice as good as one with a 2-star rating. The ratio level of
measurement does not apply
8. The temperatures ( in C) of water samples taken simultaneously in a large are shown below.
27.9 23.2 22.7 23.9 24.8 27.7 22.4 23.1 25.3
Are the data qualitative or quantitative? Quantitative - What is the data set’s level Measurement?
Interval
9. One of the authors received a credit card bill for $3,150, but it included a charge of $1,918 that
was not valid. Find the values of the absolute and relative errors. The value of the absolute
error is $1918. The value of the relative error is 156%.
10. 25 people, consisting of a statistics professor and her students, are to measure the length of a
room to the nearest 10 th of a millimeter. Assume that everyone uses the same well-calibrated
measuring device, such as a tape measure. The errors are random. If they were systematic,
there would be a tendency for the measurements to be all too high or all to low. If the
professor wants to minimize the effect of random error in determining the length of the room, is
it better to report her own personal measurement as the length of the room or to report the
average of all 25 measurements? It is better to use the average because it is likely to be in
error by less than most of the individual measurement and it is more reliable than any single
measurement. C. Systematic error might result if the tape measure has a manufacturing defect
that made all of the units too small on the tape. D. No, because if there is a systematic error in
the measurements, that same error will be present in the average.
11. New Vet weight 3278 pounds, Manufactures scale is 10 pounds weight 3284. Transort scale is
0.1 pound and obtains weight 3289.7 pounds. A. The department of trans scale is more
precise. B. The manufactures’s scale is more accurate.
12.
A study was conducted of pleas made by 1,028 criminals. Among those criminals, 955 pled guilty, and
393 of them were sentenced to prison. Among the 73 other criminals, who pled not guilty, 51 were sent to
prison. Complete (a) through (d). What percentage of the criminals pled guilty? 92.9% B. What
percentage of the criminals were sent to prison? 43.2% C. Among those who pled guilty, what is the
percentage who were sent to prison? 41.2% D. Among those who pled not guilty, what is the percentage
who were sent to prison? 69.9%
13. Last February there were 717, 367 scheduled passenger flights in a certain country, and in
February of 1995 there were 791,602.
Use a percentage to express the relative change. Use the second given value as the reference
value. Also, write a statement describing the result. The relative difference between February of 1995
and last February is -9%. There is an 9% decrease in the number of scheduled passenger flights from
February of 1995 to last February.
14. In a certain survey of 1,012 adults, 83% reported having more than one television at home.
Find the actual number of respondents corresponding to the given percentage.The number of
adults who reported having more than one television at home is 840
15.
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