2
1. HOMEWORK Identify and justify what level of measurement is being used for each of the following::
a. Assessing if a person is either an introvert or an extravert
b. Ranking job applicants for a potential job
c. Assessing confidence in a jurors verdict on a self-report measure from 0-100, assuming that the
difference between adjacent units throughout the scale is the same and that 0 means no confidence
d. Assessing if someone is mildly excited or ecstatically happy about stats.
e. Depression using skin conductance measures that record the electrical resistance of skin, assuming
that the difference between adjacent units throughout the scale is the same.
f. Assessing confidence in a jurors verdict on a self-report measure from 0-100, assuming that the
difference between adjacent units throughout the scale is not the same.
g. Different types of coffee brought into stats class.
h. Assessing speed of falling asleep.
2. For each of the following, indicate the real limits:
a. A heart rate of 130 (assume that the smallest unit of measurement is 10 pounds)
b. A heart rate of 130 (assume that the smallest unit of measurement is 1 pound)
c. A words with friends score of 99 (assume that the smallest unit of measurement is 1).
d. A reaction time of 1.7 seconds (assume that the smallest unit of measurement is .1 seconds)
e. A distance of 23.49 inches (assume that the smallest unit of measurement is .01 inches)
As you are enjoying a nice hot beverage indoors observing the snow finally falling this winter, you notice
that people appear to be helping one another in the snow. You decide to assess this and you assess people on
their community mindedness in the snow. Be sure to show all of your calculations. The following data are
the scores of the community sample on the community mindedness test:
91 51 94 74 67 91 73 63 75 84 89 76 66 94 84
3. You want to display your data in table format so you decide to do the following:
a. a Create grouped frequency distribution table from the raw data with 5 intervals. Make sure to include
real limits, midpoints, and all other information for a complete frequency distribution table.
b. What are the costs and benefits of grouped frequency distribution tables?
4. Now you want to make your tables into graphs for ease of understanding, you decide to do the following:
a. Using excel, make either a frequency bar graph or a frequency histogram of the data. Explain why
you chose to graph the data as you did, using issues discussed in class.
b. Using excel, make a frequency polygon of the data.
c. Create a stem-and-leaf plot of your data in excel or by hand.
5. You are now interested in the central tendency of your data so you decide to do the following:
a. Calculate all three measures of central tendency.
b. Discuss which measure you would report if you had to only report one measure.
6. You are now interested in the interpretation of your data so you decide to do the following:
a. Looking at your tables, graphs, central tendency and variability, what can you say about the data?
You are interested in the developing a new line of clothing for skydivers and want to know what age group to
focus your marketing towards for your new clothing line. You record the ages of people who come to a nearby
drop zone to skydive and you find the following:
18, 23, 24, 24, 23, 27, 29, 28, 24, 24, 21, 29, 30, 20, 27, 76
7. What one measure of central tendency would you report to your research team? Why? Calculate this
measure, report it and interpret it.
You also recorded the style type of the people who came to the drop zone, and find the following:
Preppy, Grunge, Preppy, Preppy, Goth, Grunge, Preppy, Other, Goth, Preppy, Grunge, Preppy, Preppy, Preppy,
Goth, Goth
8. What one measure of central tendency would you report to your research team? Why? Calculate this
measure, report it and interpret it.