Chapter 3 Worksheet - All responses submitted using link in Module 3. You may type your responses or handwrite. Submit the work as a Word, PDF or link to a Google Doc.

Measures of Central Tendency of Ungrouped Data Activity:

• Earthquake Strengths: Twelve major earthquakes had Richter magnitudes shown here. 5.4, 8.0, 6.2, 7.7, 6.4, 7.2, 6.5, 7.2 7.0, 6.4, 6.2, 5.4

Find the Mean, Median, Mode and Midrange of the Richter Scale values reported. Label each value.

Central Tendency of Grouped Data Activity

• Cost per load of Laundry Detergents - The cost per load (in cents) of 35 laundry detergents tested by a consumer organization is shown. Find the mean and modal class. Label each value.

Averaging Activity:

• Final Grade: An instructor gives 4 unit exams and 1 final exam, which counts as 2 unit exams. Find a student's final grade if she received 62, 83, 97, and 90 on the unit exams and 82 on the final exam.

Weighted Mean Activity:

• A student received an F in English Comp (3 credits), a B in Intro to Psychology (3 credits), a C in Biology (4 credits) and a C in Phys Ed (2 credits). Assuming A = 4 grade points, B = 3 grade points, C = 2 grade points, D = 1 grade point, and F = 0 grade points, Find the student's grade point average.

Central Tendency and Variation Activity:

• For the following data sample of the number of hospitals located in a sample of states.

Compute the Mean, Median, Mode, Range, Interquartile Range, Variance, Standard Deviation, and Coefficient of Skewness.

78, 35, 111, 40, 166, 108, 60, 123, 87, 84, 74

Research Excerpt Activity - Counseling Duration

• Read the following research excerpt and review the data. Complete the items below.

During an academic year, new clients at a university counseling center were recruited to participate in this study. All new clients requesting individual counseling services were eligible to participate. 94 new clients (the majority of new clients at the center) agreed to participate...the ages of the participants ranged from 18 - 47 years (MDN = 21.00, M = 22.4).

Table 2 presents a frequency distribution of counseling duration. Participant completed from 1 - 28 sessions (MDN = 3.0, M = 4.6). As evident in the table, most participants completed a relatively small number of sessions.

• What is the Median age of the clients?
• What percentage of clients are under 21 years of age?
• The footnote to the table states: (Mode = 1). What does this mean?
• How many clients completed 7 - 9 sessions?
• What percentage of the clients completed 10 - 12 sessions?
• What is the cumulative percentage for 9 or fewer sessions?
• Is the following statement true or false? "57% of the clients completed more than 1 - 3 sessions"
• Is the following statement true or false? "80% of the clients completed 6 or fewer sessions"
• The researcher states that "most participants completed a relatively small number of sessions". Do the statistics in the table support this statement? Explain.
• Consider the frequencies in the table. In your opinion, is the distribution clearly skewed? Explain.

Research Excerpt Activity - Self-reported Height and Weight

• Read the following research excerpt and review the data. Complete the items below.

Accuracy in height and weight characteristics allows accuracy in calculating placement in health categories. Typically, questionnaires on health-risk appraisal and insurance applications require participants to include their own estimates...

A convenience sample of 62 (n = 30 Men, n = 32 Women) Euro-American college students with a mean age of 19.9 years (SD = 2.9) volunteered for the study.

Subjects were asked to volunteer for a simple assessment of fitness behavior via questionnaire, which included items of height and weight, but were not told prior to completing the survey that height and weight would be measured.

• What is the average age of the students?
• On average was the self-reported weight for men higher or lower than their measured weight?
• For weight, did men or women have a larger average difference between self-reported and measured weight?
• Did men or women have greater variability for self-reported weight?
• For men, was there greater dispersion for self-reported or measured weight?
• What is n for the data set? Total? Men? Women?
• How many variable are a part of this study?