Discuss the concepts of Mean, Median, Mode, and Standard Deviation, including when each should be used, and evaluate the differences of each.
Questionnaire
1) 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 each question
· Discuss the concepts of Mean, Median, Mode, and Standard Deviation, including when each should be used, and evaluate the differences of each. (175 words)
· How can knowing this information about data help us? (175 words)
· 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. (175 words)
2) Probability is about mathematically determining how likely an event is to happen. Probability can be applied to many different aspects of our lives and help us make informed decisions.
Respond to the following in a minimum of 175 words each question
· Discuss the concept of probability, including the notion of an experiment, outcomes, and sample space. (175 words)
· How can each of these be useful to us? (175 words)
· Describe an example from your own personal or professional experiences where you are focused on obtaining a specific, desired outcome. Evaluate what the ideal experiment, outcome, and sample space are for that situation. (175 words)
3) When our data aligns to the characteristics of normal distribution, it maintains specific properties that help us interpret results and make decisions.
Respond to the following in a minimum of 175 words each question
· What is the normal distribution and the standard normal distribution? (175 words)
· What type (level) of data is being used in the standard deviation as distinguished from a binomial distribution (175 words)
· Discuss where the empirical rule applies. (175 words)
· How can you determine if the data follows a normal distribution? (175 words)
4) Hypothesis testing allows us to use an analytical process to determine if a hypothesis is retained OR rejected. This process compares a null hypothesis (HO), which states things as we believe they are, to an alternative hypothesis (HA), which proposes a change to what we believe exists.
Respond to the following in a minimum of 175 words each question
· Discuss the concepts of hypothesis testing, including what you are evaluating, (175 words)
· Explain when it should be used, previous concepts and the differences between a one- and a two-tailed test. (175 words)
· Describe an example from your own personal or professional experiences where you could apply a hypothesis test and discuss how knowing that information helped you. (175 words)