#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 _______________
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
(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
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%
Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a time so we are answering the first one as you have not mentioned which one you are looking for. Please re-submit the question separately for the remaining question.
The shapes of the distributions are as follows.
- Symmetrical Distribution
- Positively (Right) Skewed Distribution
- Negatively (Left) Skewed Distribution
For symmetric distribution relation between mean, median and mode is as follows.
For Positively skewed distribution relation between mean, median and mode is as follows.
For Negatively skewed distribution relation between mean, median and mode is as follows.
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