Question

2. The top 10 ranked jobs based on various criterion are listed below. Here we are interested in looking at the stress rating of each job (I picked the right one in terms of stress!...also note how many jobs that are ranked towards the top involve math and statistics!):

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, is it 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 to part a), including all labels.

            e. Calculate the mean, median, and mode.

            f. Are the mean, median, and mode descriptive or inferential statistics?

            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 80^th percentile of this data set?

            o. Does this data set have any outliers? Use statistics in answering this question (not just your opinion).

            p. Would you use the Empirical rule or Chebyshev’s Theorem here and why?

            q. Based on the mean and median calculated above, would you expect this data to be symmetric, skewed to the left or skewed to the right and why?

Answer 1

a) This is quantitative data.

descriptive

Mean, median and mode are descriptive statistic.

IQR= Q3-Q1

IQR= 47.5-12.5= 35

Coefficient of variation= σ/x̅= 21.27/26.9= 0.791