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W1 Discussion Topics

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This week there are four discussion topics. Complete by the due date and you will have a second chance to fix mistakes and resubmit for a second review and increased points.

Name:

DT1 DESCRIPTIVE STATISTICS

Please read and understand before responding

Topics: Central Tendency, Variability (Dispersion), Quartiles, normal data and skewed distribution of a single data group. You will want to know what measure to use when data distribution is normal (symmetrical) and when the data distribution is significantly skewed. We will work with six measures, mean, median, mode, standard deviation, interquartile range (IQR), and range. You may use a web search or the textbook.

Textbook: McClave Ch. 2 pp. 54-60 (Central Tendency); pp. 64-67 (Variability); pp. 81-83 (Quartiles) Methods for Describing Sets of Data

MyStatLab: Week 1 Problems supports this assignment

Central Tendency (Data Center)

A. Explain the strengths and weaknesses for each measure of central tendency: a) Mean, b) Median, c) Mode

Mean
Strengths – Shows averages of all number data
Weaknesses – Averages can be thrown off with outliers

Median
Strengths – Shows middle number variable
Weaknesses – Isn’t always exact, as there may be outliers < less sensitive to outliers is a strength.

Mode
Strengths– Shows most achieved results
Weakness – Doesn’t paint a good picture. Not all values are used.

B. Choose the best measure to use when data is normal? Choose the best measure to use when data is significantly skewed?

The mean to me would be the best choice if the data is normal. The mean shows exactly what is going on. However I believe the mode would be best if the data is skewed, as it would shows areas of success or failure because it looks at individual results, rather than group results.

Mode is special purpose – median is the best choice.

Variability (Data Spread from

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