You are part of a school and have to report the results of standardized test scores. Which measure of central tendency would you use? Assume that you don’t know how your students will perform; consider the general effects of outliers on the three measures of central tendency. Research and summarize the general effects that outliers have on each of the measures of central tendency. Then, using some real values, provide an example of how the three measures of central tendency vary due to outlier effects.
Recently, two new transfer students joined your school, and both have received extremely high scores on the test. Which measure of central tendency would you use, and why? Explain which measure you would use in this situation by using actual numbers to illustrate your point. Calculate all three measures of central tendency and depict what happens before and after the addition of the two transfer students.
Justify your answers with appropriate reasoning and research from your textbook and course readings.