Respond to the following in a minimum of 175 words:
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?
(1) What is the difference between a normal distribution (symmetrical data) and a skewed distribution (asymmetrical data?)
(2) In order for data to be asymmetrical does it need to contain outliers? Why or why not? Explain your answer.
(3) What is an outlier and when do we decide to use it as part of the viable outcome? Explain your answer.