Posted: February 6th, 2021

**Assignment 4** **Statistics Exercise I**

These weekly exercises provide the opportunity for you to understand and apply statistical methods and analysis.

All assignments MUST be typed, double-spaced, in APA style and must be written at graduate level English, citing the text in APA format.

**#1.** Given the following values of the mean and median, state the likely shape of the distribution and which measure should be used to summarize it.

(a) mean = 4, median = 4 _______________

(b) mean = 12, median = 2 _______________

(c) mean = 8, median = 18 _______________

(d) mean = 6, median = 14 _______________

(e) mean = 10, median = 3 _______________

(f) mean = 8, median = 8 _______________

**#2. ** What are two steps to locate proportions under the normal curve?

**#3. **The sample mean is an unbiased estimator of the population mean. Explain this statement.

**Use SPSS and the provided data to answer the following questions. Round your answers to the nearest dollar, percentage point, or whole number. **

**#4. **What is the mean annual income (INC1) of the participants? A**.**$43,282 B**.**$72,133 C**.**$47,113 D.$34,282

**#5**. What percent of the participants are married (RELAT)? A**.**28% B**.**33% C.51% D.59%

**#6.** What is the modal level of relationship happiness (HAPPY)? A.Mixed B.Happy C.Very Happy D.Cannot be determined **#7. ** What is the median income of the participants’ partners (INC2)? A.$24,212 B.$28,945 C.$32,000 D.$48,975 **#8.** What percent of the participants are age 51 or older? A.4% B.5% C.7% D.10%**Assignment Outcomes:**

Assess the concepts underlying appropriate use of various research methodologies

Analyze how to recognize the inappropriate or deceptive use of research methodology

Compare/contrast the basic assumptions underlying various statistical operations Summarize the consequences of using various methodological approaches Differentiate between the appropriate and inappropriate application and interpretation of research methods and statistics

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