Statistics & Probability

Directions: Using the digits 1 to 9, find a six number data set that has a Mode of 1, Median of 2 and Mean of 3. Digits can be repeated. Source: Harold Jacobs

Directions: Create a set of five positive integers from 1 to 20 so that the values of their mean, median, and range are the same and have the greatest possible value. Source: Eric Berchtold, Melissa Minnix, and Robert Kaplinsky

Directions: Construct two sets of 9 numbers that have a mean of 6 and and MAD (mean absolute deviation) of 2. Source: Patrick Sullivan

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

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

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

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

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 with help from Pamela Franklin