# Median And Quartile Math Games

In this series of games, your students will learn that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. The Median And Quartile learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 6.SP.A.3 as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

## Concepts Covered

Find the mean for a set of data. Find the median for a set of data. Reason about the mean of a set of data. Reason about the median of a set of data.

Statistical questions anticipate and generate data that varies. Data is the information gathered from statistical questions. Variability can be large or small depending on the question and the anticipated data being gathered. Display data generated from statistical questions with dot plots, histograms, or line plots. Describe data in a dot plot or histogram in terms of symmetry. Describe the data in terms of the shape of peaks, gaps, and clusters.

See the center of the data as the middle of the data set. Describe the spread of the data. Center is measured by the median, a number arrived at by counting to the middle of an ordered array of numerical data. When the data set is even the median will be the average of the two middle numbers. Quartiles are the medians of the lower and upper halves of the ordered data values. The quartiles separate the data into 4 sections that each contain the same amount of data points but vary in shape and size. The interquartile range is the distance from the first and third quartile and is used to describe the variability of the data set.

A preview of each game in the learning objective is found below.

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