Measures of Central Tendency:Describe the measures of central tendency.

Problems need to include all required steps and answer(s) for full credit. All answers need to be reduced to lowest terms where possible. Answer the following problems showing your work and explaining (or analyzing) your results. Submit your work in a typed Microsoft Word document. 1. Describe the measures of central tendency. Under what condition(s) should each one be used? 2. Last year, 12 employees from a computer company retired. Their ages at retirement are listed below. First, create a stem plot for the data. Next, find the mean retirement age. Round to the nearest year. 55 77 64 77 69 63 62 64 85 64 56 59 3. A retail store manager kept track of the number of car magazines sold each week over a 10-week period. The results are shown below. 27 30 21 62 28 18 23 22 26 28 a. Find the mean, median, and mode of newspapers sold over the 10-week period. b. Which measure(s) of central tendency best represent the data? c. Name any outliers. 4. Joe wants to pass his statistics class with at least a 75%. His prior four test scores are 74%, 68%, 84% and 79%. What is the minimum score he needs on the final exam to pass the class with a 75% average? 5. Nancy participated in a summer reading program. The number of books read by the 23 participants are as follows: 10 9 6 2 5 3 9 1 6 3 10 4 7 6 3 5 6 2 6 5 3 7 2 Number of books read Frequency 12 34 56 78 910 a. Complete the frequency table. b. Find the mean of the raw data. c. Find the median of the raw data. 6. The chart below represents the number of inches of snow for a seven-day period. Sunday Monday Tuesday Wednesday Thursday Friday Saturday 2 5 3 10 0 4 2 a. Find the mean, median, and mode. b. Which is the best measure of central tendency? c. Remove Wednesday from the calculations. How does that impact the three measures of central tendency? d. Describe the effect outliers have on the measures of central tendency. 7. A dealership sold 15 cars last month. The purchase price of the cars, rounded to the nearest thousand, is represented in the table. Purchase price Number of cars sold $15,000 3 $20,000 4 $23,000 5 $25,000 2 $45,000 1 a. Find the mean and median of the data. b. Which measure best represents the data? Use the results to support your answer. c. What is the outlier and how does it affect the data? 8. What do the letters represent on the box plot? 9. The test scores from a math final exam are as follows: 64 85 93 55 87 90 73 81 86 79 a. Create a box plot using the data. b. Label the five points on the box plot and include numerical answers from part “a.” 10. Using the data and results from Question 9, answer the following questions. a. What is the median? b. What is the range? c. What is the interquartile range? d. In a short paragraph, describe the data in the box plot.

Tuckman’s Model of Group Development:Describe two types of conflicts that arise in work groups.

The ability of organizations to achieve their objectives is through the formation of people from groups into teams. Your essay will answer the following questions: Summarize the key concepts and theories behind Tuckmans model of Group Development. Provide a critical analysis of Tuckmans model. The critical analysis will be graded as part of the subject matter as described in the assessment rubrics. As you have been working in your group, relate Tuckmans stages of group development with your own experience in this class. Compare and contrast Tuckmans stages with your own experience so far. Conflict is part of group development. Examine some of the common conflicts that can arise in work group performance. Describe two types of conflicts that arise in work groups. How do the work groups resolve the two types of conflicts described? Has your work group experienced the described conflict and did your work group use the same technique to resolve the conflict? Group decision making is one of the biggest challenges working in groups. Examine how groups make decisions and describe the pros and cons of group decision making. How will you use what you learned about group decision making to improve the performance of your own working group? Examine how work groups can became work teams. What are the main differences between work groups and work teams specifically in the areas of leadership, decision making and conflict resolution?