# (Answered)MATH225N Week 3 Discussion: Measures of Central Tendency and Variation

Understanding descriptive statistics, their measures of center and their variability, helps form the foundation of statistical analysis. Descriptive statistics tell us how frequently an observation occurs, what is considered average, and how far data in our sample deviate from being average. With these statistics, we are able to provide a summary of characteristics from both large and small datasets. Measures of central tendency and variability provide valuable information on their own, and form the cornerstone of the quantitative structures that we build in our research studies.

Required Resources

Read/review the following resources for this activity:

• OpenStax Textbook: Chapter 2
• Lesson
• Minimum of 1 scholarly source

Initial Post Instructions

For this Discussion, you will examine central tendency and variability in terms of pulse rate.

Find and record the pulse rate of 10 different people where you work. Tell us a little about the population from which you drew your data. Describe your findings in terms of central tendency and variability.

What are your measures of central tendency (i.e., mean, median, and mode)? Which might be the better measure for central tendency and why?

What is the standard deviation of your data? How variable are the data (range)?

Are there any outliers? Investigate possible reasons for these outliers, and things that might limit them if further study were to be carried out.

What are some variables that should be considered in discussing your measures of central tendency and variation? Is there any skewness in your measured data?

How would you describe this data (i.e. what insights did you gain from this data)?

# Solution:

Statisticians and nurses rely on descriptive statistics to gain more in-depth insight into variables of interest; a variable can be described depending on data variability of observed values or central tendency(Holmes et al., 2017). Central tendency points to the center of data in normal distribution. Mean, mode, and median are the primary measures of central tendency. I will use variation and measures of central tendency to describe data I collected on my colleagues’ pulse rates.

The data was collected, as shown below:

67, 64, 74, 78, 84, 84, 68, 94, 76, 75

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