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Descriptive Statistics

Explore descriptive statistics using data from movies and international telephone calls. Learn how to calculate sample mean, quartiles, median, IQR, and identify outliers through histograms and boxplots.

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Descriptive Statistics

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  1. Descriptive Statistics The following data shows the number of movies 88 students watched one week during the summer.

  2. Descriptive Statistics Data must be entered into your calculator. • The median • The third quartile • The IQR • Calculate: • The sample mean • The first quartile

  3. Descriptive Statistics Data must be entered into your calculator. • Histogram • Default • Set Window • Graph: • Boxplot • Default

  4. Descriptive Statistics The following data shows the lengths (in minutes) of 64 international telephone calls using a prepaid calling card.

  5. Descriptive Statistics • Calculate: • The sample mean • The sample standard deviation • The first quartile • The median • The third quartile • The IQR

  6. Descriptive Statistics • Plot: • Boxplot • Histogram

  7. Descriptive Statistics • Does the histogram of this data appear to be • Skewed right? • Skewed left? • Symmetrical?

  8. Descriptive Statistics • Are their any potential outliers (values that do not seem to “fit” the rest of the data)? • Are there any values 1.5*IQR above Q3? • Are there any values 1.5*IQR below Q1? • Potential Outliers require further investigation.

  9. Descriptive Statistics • 1.5*IQR = 1.5*(Q3-Q1) = 1.5*(24-4) = 30 • Are there any values 1.5*IQR above Q3? • Q3 + 1.5*IQR = 24 + 30 = 54 • NO. The largest value is 54. • Are there any values 1.5*IQR below Q1? • Q1 – 1.5*IQR = 4 – 30 = - 26 • NO. The smallest value is 4.

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