part 1)A measure of central tendency will identify the average or typical score to serve as a representative value to each group. The general purpose of descriptive statistics is to organize and summarize a set of scores usually by finding an average score that represents the entire distribution. The root word in central is center. Central tendency "crunches" large numbers down to a single value that describes them all. Check out Figure 3.2. This week, let's discuss the following in details and with examples **(Each student will choose any 4 topic and discuss in details, all questions must be picked so check what has been discussed so you discuss what hasn't)**:

1. The mean (What it is, when it is used, and why it is used)

2. Discuss the weighted mean and give examples

3. How do we compute the mean from a frequency distribution table?

4. How does changing a score affect the mean?

5. How does introducing a new score or removing a score affect the mean?

6. Discuss adding or subtracting a constant from each score

7. Discuss multiplying or dividing each score by a constant

8. What is the median? When is it used and why?

9. How do we find the precise median for a continuous variable?

10. Discuss the 5 steps for determining any situation in which several scores are tied at the median

11. What is the mode, when is it used, and why?

12. Discuss the 4 situations when the median is chosen over the other 2 measures of central tendency

13. Discuss the 3 situations in which the mode is commonly used as an alternative to the mean.

part 2)A frequency distribution provides an overview of the entire group of scores making it easy to see the general level of performance or scores. A frequency distribution is one of the most common procedures for organizing a set of data. A FD takes a disorganized set of scores and organizes them in order from **highest to lowest**, grouping together all individuals who have the same score. **(Choose any 4 and discuss in details with examples - Each student will choose any 4 topic and discuss in details, all questions must be picked so check what has been discussed so you discuss what hasn't) )**

1. A FD can be structured either as a table or as a graph but the distribution presents the same two elements. What are these 2 elements?

2. Describe a frequncy distribution table using example 2.1

3. How do we obtain ∑X from a frequency distribution table? Give an example

4. Describe the 2 most common other measures that describe the distribution of scores. Give examples

5. Discuss the 4 rules that guide the construction of a grouped FD table with example

6. Describe your understanding of the concept of real limit (This is very critical, make sure you understand it)

7. Discuss FD graphs and the various levels of measurement associated with them. Give examples.

8. Discuss the various shapes of a FD with examples

9. What do you understand by percentiles, percentile ranks, and interpolation? Give example of each with your discussion.

10. Discuss stem and leafd displays with examples

Subject | Mathematics |

Due By (Pacific Time) | 06/07/2014 12:00 am |

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