1. Rooms in a house (Bedroom, Bathroom, Living Room, etc.) arean example of a variable that follows which scale ofmeasurement?
a. ratio scale
b. interval scale
c. nominal scale
d. ordinal scale
2. The top 10 ranked jobs based on various criterion are listedbelow. Here we are interested in looking at the stress rating ofeach job (I picked the right one in terms of stress!...also notehow many jobs that are ranked towards the top involve math andstatistics!):
Job | Stress Rating |
Mathematician | 24 |
University Professor(Tenured) | 4 |
Statistician | 54 |
Actuary | 54 |
Audiologist | 1 |
Dental Hygienist | 11 |
Software Engineer | 18 |
Computer Systems Analyst | 58 |
Occupational Therapist | 28 |
Speech Pathologist | 17 |
a. Is this data categorical or quantitative? If quantitative, isit discrete or continuous?
b. Calculate the number of classes and class width.
c. Construct a frequency distribution, including the classes,frequency, and relative frequency.
d. Construct a histogram or bar graph (depending on your answer topart a), including all labels.
e. Calculate the mean, median, and mode.
f. Are the mean, median, and mode descriptive or inferentialstatistics?
g. Calculate the range.
h. Calculate Q1.
i. Calculate Q3.
j. Calculate the IQR.
k. Find the variance.
l. Find the standard deviation.
m. Find the coefficient of variation.
n. What is the 80th percentile of this data set?
o. Does this data set have any outliers? Use statistics inanswering this question (not just your opinion).
p. Would you use the Empirical rule or Chebyshev’s Theorem here andwhy?
q. Based on the mean and median calculated above, would you expectthis data to be symmetric, skewed to the left or skewed to theright and why?
3.A survey of 900 college students resulted in the followingcrosstabulation regarding if they smoke or not and whether or notthey drink alcohol. (2 points)
Drink Alcohol |
Smoke | Yes | No | | Total |
Yes | 90 | 42 | | 132 |
No | 650 | 118 | | 768 |
Total | 740 | 160 | | 900 |
Of the students surveyed who do not smoke, what percentage alsodo not drink?
