Workshop 2 Central Tendency Name: _______________________________________ Date Completed: _____________

Provide all solutions, answers and requested outputs after each question.

Questions 1 to 3 are based on the following data:

	Manner of Approach
Subjects	Aggressive	Neutral	Passive	Gender
Frank	13	11	5	M
Henry	17	13	12	M
Steve	10	10	10	M
Bruce	16	14	6	M
Larry	22	15	12	M
Larry	22	11	11	M
Martin	18	14	10	M
Denny	15	15	13	M
Ken	12	14	10	M
Mary	19	12	6	F
Alice	22	15	8	F
Janet	18	9	6	F
Karen	18	14	9	F
Barbara	17	15	7	F
Frances	23	12	5	F

Based upon personal experience, a researcher hypothesized that the manner is which an individual is
approached by another (i.e., in an aggressive, a neutral, or a passive attitude) influences the emotional
reaction of the person approached. Emotional comfort level was operationally defined as the number
of inches apart the two individual stood. The researcher observed the number of inches apart under
three conditions for 15 subjects (9 male and 6 female).

Question 1. Compute the mean, median, and mode for each of the three approach conditions.
                    Based upon these findings, what conclusion might the researcher reach?

	Aggressive	Neutral	Passive
Mean
Median
Mode

Question 2. Compute the mean, median, and mode for both males and females
                    (ignoring the manner of approach). Based upon these findings, what conclusion might
                    the researcher reach?

	Mean	Median	Mode
males
females

Question 3. Compute the mean for both males and females under each of the three approach conditions.
                    Based upon these findings, what conclusion might the researcher reach?

	Aggressive	Neutral	Passive
males
females

Questions 4 to 6 are based upon the following data:

Instructor Types	Monday	Tuesday	Wednesday	Thursday	Friday
Lecturers	13	26	13	26	13
Assistant Professors	26	30	22	18	14
Associate Professors	29	14	28	31	34
Full Professors	0	8	6	10	63

The university adminstration is in a budget crisis. To justify faculty salaries, an observer records
the number of minutes late to class for each of the four types of faculty positions and for each
minutes late to class for each of the four types of faculty positions and for each day of the week.
The total numbers of minutes tardy are shown above.

Question 4. On average, on which day of the week are instructors most tardy?

	Monday	Tuesday	Wednesday	Thursday	Friday
Instructors, X

Question 5. On average, which instructor category is latest to class? How does distribution
                    skew affect your conclusions?

	Lecturer	Assistant	Associate	Full
averages, X

Question 6. The following hourly salary rates apply to each faculty level. From these rates
                    and the data above, calculate which falculy catergory costs the university the
                    most in "lost" time?

                    hint: Lost time is (Cost per hour)(Hours late for category on instructor)

Lecturer $8.50

Assistant Professor 9.75

Associate Professor 10.25

Full Professor 11.00

Question 7. For the ODE.cvs dataset, calculate the mean, median and mode(s)
                    (exclude all cases with values = 0)

Question 8. For the ODE.cvs dataset,

(a) Construct a Frequency table with class width = 10

(b) What type of distribution is part b?

Question 9. For the ODE.cvs dataset,

(a) Construct a stem and left diagram

(b) Does this looks like a symmetric distribution?

Question 10. From results of questions 8 and 10, what range of scores occurs most frequently (mode of distribution)?