Statistics Exercise I: Descriptive statistics- These weekly exercises provide the opportunity for you to understand and apply statistical methods and analysis, Singapore

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%