The most frequently used measures of central tendency for quantitative data are the mean and the median.
Answer each question substantially using Doane et al. (2022). Cite the textbook by page number or an external source by an in-text citation and reference in APA format.
The Learning Objective (LO) is a section in our Doane et al. (2022) textbook. These are searchable, such as “LO 4-1.”
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The most frequently used measures of central tendency for quantitative data are the mean and the median. Accordingly, the most frequent measures of variability are standard deviation and interquartile range (IQR).
The mean and standard deviation are calculated while the median and IQR are positions in the data.
Table 1
Central Tendency and Variability Choices
The attached Week 2 Discussion Data file shows a sample of Civil Service examination scores from applicants to law enforcement jobs.
Steps
A. Use Excel to calculate descriptive statistics. Included are the means, sample standard deviation, IQR, and the five-number summary. The five-number summary includes Min, Quartile 1, Median, Quartile 3, and Max. Examples of the calculations are in the Data file, second tab.
B. Construct a Box and Whisker Plot
1. Use the column Scores and select 50 data in that column
2. Use Insert > Insert Statistic Chart > Box and Whisker
3. Finish the chart with a y-axis label.
This chart depicts the five-number summary. (Refer to Box Plots LO 4-8).
C. Examine the box and whisker plot. Does it indicate outliers? If so, which one(s)? Are any considered extreme outliers? Refer to the calculation example in the Data File, second tab.
D. Would you choose to use the mean or the median as the dataset’s central tendency measure? What makes that determination? Explain. (Refer to Table 1 (above) and Measures of Center LO 4-2).
E. What are your thoughts about people who use the means to describe data that is extremely skewed? Would that be deceptive and ethically incorrect?
Week-2-Discussion-Data-for-DQ
References
Doane, D., Seward, L. (2022) Applied statistics in business and economics (7th ed). McGraw-Hill
Statistics Kingdom. (2021). Box plot maker. https://www.statskingdom.com/boxplot-maker.html
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