(Solution) Math 225 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

In your reference for this assignment, be sure to include both your text/class materials AND your outside reading(s).

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.

Consider using some of the following to help you form your initial discussion post:

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:

Measures of central tendency play a profound role in summarizing statistic that represents the center point or typical value of a data set.  According to Holmes, Illowsky, and Dean (2017), in the realm of statistics, the three most common measures of central tendency are the mean, median, and mode. Each of these measures typically calculates the location of the central point using a different point. For this discussion, I collected the pulse rate of my colleagues. The collected data is as follows.  65, 68, 66, 72, 88, 81,94,71,88,91.

The mean is the average score of a data set….Please click the icon below to purchase full answer at only $5