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Statistics & Probability

Absolute Deviation

Directions: Using only numbers 1-9 (without repeating any number), fill in the boxes to create a set of data with the largest possible absolute deviation. Source: Mark Alvaro

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Lower and Upper Quartiles with Constraints

Directions: Create a statistical data set of at least 10 numbers such that: 1. All of the numbers in the data set are whole numbers. 2. The lower and upper quartiles are not whole numbers. 3. The lower and upper quartiles are not part of the data set. Source: Daniel Luevanos

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Median with Constraints

Directions: Create a statistical data set of at least 10 numbers such that: 1. All of the numbers in the data set are whole numbers. 2. The median is not a whole number. 3. The median is not part of the data set. Source: Daniel Luevanos

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Mean, Median, and Range

Directions: Create a set of five whole numbers from 1 to 20 that have the same mean, median, and range. Source: Eric Berchtold and Melissa Minnix

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Mean Absolute Deviation

Directions: Give an example of two sets of numbers that form identical box plots (also called box-and-whisker plots) but have different mean absolute deviation values. Source: Robert Kaplinsky

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