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# s_m3 - STA 2023 Module 3 Descriptive Measures Learning...

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STA 2023 Module 3 Descriptive Measures

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Rev.F08 2 Learning Objectives Upon completing this module, you should be able to: 1. Explain the purpose of a measure of center. 2. Obtain and interpret the mean, median, and the mode(s) of a data set. 3. Choose an appropriate measure of center for a data set. 4. Use and understand summation notation. 5. Define, compute, and interpret a sample mean. 6. Explain the purpose of a measure of variation. 7. Define, compute, and interpret the range of a data set. 8. Define, compute, and interpret a sample standard deviation. 9. Define percentiles and quartiles. 10. Obtain and interpret the quartiles, IQR, and five-number summary of a data set. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.
Rev.F08 3 Learning Objectives (Cont.) 1. Obtain the lower and upper limits of a data set and identify potential outliers 2. Construct and interpret a boxplot and a modified boxplot. 3. Use a boxplot to identify distribution shape for large data sets. 4. Define the population mean. 5. Define the population standard deviation. 6. Compute the population mean and population standard deviation for a finite population. 7. Distinguish between a parameter and a statistic. 8. Understand how and why statistics are used to estimate parameters. 9. Define and obtain standardized variables. 10. Obtain and interpret z-scores. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.

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Rev.F08 4 What is the Mean of a Distribution? The mean feels like the center because it is the point where the histogram balances. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.
Rev.F08 5 What is the Mean of a Distribution? (cont.) When a distribution is unimodal and symmetric , most people will point to the center of a distribution. The center of a distribution is called the mean . If we want to calculate a number, we can average the data. We use the Greek letter sigma ∑ to mean “sum” and write: y Total y n n = = The formula says that to find the mean , we add up the numbers and divide by n , where n is the sample size. http://faculty. valenciacc . edu/ashaw/ Click link to download other modules.

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Rev.F08 6 What is the Mean of a Data Set? Mean of a Data Set The mean of a data set is the sum of the observations divided by the number of observations. http://faculty.valenciacc.edu/ashaw/ Click link to download other modules. The formula says that to find the mean , we add up the numbers and divide by n , where n is the sample size. x = x i å n y Total y n n = = or
7 What is the Median? The median is the value with exactly half the data values below it and half above it. It is the middle data value (once the data values have been ordered) that divides the histogram into two equal areas . It has the same

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s_m3 - STA 2023 Module 3 Descriptive Measures Learning...

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