Mathematics

Descriptive Statistics 2 1 16.pptx

1.  You are a professor of psychology and you would like to examine your student’s exam performance by first examining the measures of central tendency.

a.  Based on the data below, identify the mode, median, and mean of the scores on the exam. Be sure to show your work. Is there any skew in the distribution? Explain your answer.

b.  Find the range, variance, and standard deviation.

c.  Based on your results, discuss the fit of this model.

 Student Score 1 80 2 90 3 92 4 82 5 60 6 100 7 75 8 80 9 93 10 70

2. Graph a positive and negatively skewed distribution. Explain the relationship between the mean, median, and mode for each distribution.  Explain the advantages and disadvantages of using the mean.

3. Classify each of the following as a categorical or a continuous variable. Explain the appropriate measure of central tendency for each variable.

d.  Intelligence

e.  Rank in Class

f.  Ethnicity

g.  Marital Status

h.  Mathematical Ability

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