Statistics : Measures of Center and Variability

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Now that we know about data, we continue our journey with two fundamental descriptive statistics that help us understand fundamental things about a data set. In discussion this week, we are going to explore MEASURES of CENTER, which includes our Mean (aka Average), Median and Mode, and MEASURE of VARIABILITY, which includes Standard Deviation.

Respond to the following in a minimum of 175 words:

Discuss the concepts of Mean, Median, Mode, and Standard Deviation, including when each should be used, and evaluate the differences of each. How can knowing this information about data help us?
Describe an example from your own personal or professional experiences about using either Measures of Center (mean, median, or mode) or standard deviation, and discuss how knowing that information helped you.

SAMPLE SOUTION

Measures of central tendencies are single values that try to define a group of data by locating the central point within some given data. These measures of central tendency include mean, mode, and median. The mean or arithmetic average refers to the sum of the scores within a set of data divided by the count of the scores. Both continuous and discrete data can utilize the arithmetic mean and is sensitive to extreme scores in a small…