Homework
3 focuses on calculating and interpreting some basic descriptive statistics.
For all calculations, make sure to report not just the results, but also how you attained those results. Calculations
and graphs can be done by hand (make
sure it is readable!). Use two decimals
for all calculations.
1. (6
points). This homework will be scored on a 20-point scale representing the number
of points that people earn. Thus, someone who does a perfect job will
receive 20 points, whereas someone who does not turn in the homework will
receive 0 points. Create hypothetical homework scores for 100 students and make the distribution of scores negatively skewed. Create a frequency table for the scores, and draw
a frequency polygon (by hand) to illustrate
the distribution.
2. Imagine that we were interested in studying people’s
subjective well-being (i.e., feelings of general life satisfaction). We
therefore administer a survey of subjective well-being (scale: 1 = extremely
low, 9 = extremely high) to a sample of 14 participants. We obtain the
following set of scores: 8, 2, 5, 4, 9, 5, 6, 7, 8, 5, 9, 7, 2, 1.
2.1.
(3 points). Calculate the three measures
of central tendency discussed in class for this set of scores (report your
calculations step by step, not just the results).
2.2.
(4 points). Calculate the standard
deviation for this set of scores using the formula for estimating the SD in
the entire population (report your calculations step by step, not just the
results).
2.3.
(3 points). Interpret the results from the survey (focus on M and SD). What can
we say about the general subjective well-being experienced in our sample, and
what can we say about the amount of variation in experienced well-being?
3.
(4 points). Transform all 14 subjective
well-being scores into z-scores (report your calculations step by step, not
just the results). Explain what the highest and the lowest z-scores that you
have calculated mean (i.e., how they should be interpreted)?
Total:
20 points
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