Math Homework Help

Statistics Exercise I: Descriptive statistics

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

#1 Given the following values of the mean and median, state the likely shape of the distribution:(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.  IQ scores have a mean of 100 and a standard deviation of 15. What percentile corresponds to an IQ score of 115? Explain the steps you took to find the percentile.

#3.  Which measure of central tendency would you use for the following variables (mean, median or mode). Explain your choice.Gender: _______________________________________________________Class rank at a college: __________________________________________________Age of high school students: ________________________________________A skewed income distribution (90% with incomes under $150K; a few with incomes of several million): ____________________________________________________Use SPSS and the data file found in syllabus resources (DATA540.SAV) 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?

1. $43,282
2. $72,133 
3. $47,113
4. $34,282

#5.  What percent of the participants are married (RELAT)? 

1. 28%
2. 33%
3. 51%
4. 59%

#6. What is the modal level of relationship happiness (HAPPY)?

1. Mixed
2. Happy
3. Very Happy
4. Cannot be determined

#7.  What is the median income of the participants’ partners (INC2)?

1. $24,212
2. $28,945
3. $32,000
4. $48,975

#8. What percent of the participants are age 51 or older?

1. 4%
2. 5%
3. 7%
4. 10%