The most frequently used measures of central tendency for quantitative data are the mean and the median. The following table shows civil service examination scores from 24 applicants to law enforcement jobs:
83 74 85 79
82 67 78 70
18 93 64 27
93 98 82 78
68 82 83 99
96 62 93 58
Using Excel, find the mean, standard deviation, and 5-number summary of this sample.
Construct and paste a box plot depicting the 5-number summary.
Does the dataset have outliers? If so, which one(s)?
Would you prefer to use the mean or the medianas this dataset’s measure of central tendency? Why?
Reply to at least 2 of your classmates or your faculty member, and/or address any of the following subjects:
What is a five number summary and why is it important?
What is the Interquartile Range (IQR) and when do we use it?
When do we use the median instead of the mean for the measure of central tendency? Explain your answer
Define the following two concepts: Standard Deviation and Range.
Sample Solution
