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 mea

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?

$43,282

$72,133

$47,113

$34,282

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

28%

33%

51%

59%

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

Mixed

Happy

Very Happy

Cannot be determined

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

$24,212

$28,945

$32,000

$48,975

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

4%

5%

7%

10%