# Summarize Data By Data Collection Measures Math Games

In this series of games, your students will learn to summarize numerical data sets in relation to their context. The Summarize Data By Data Collection Measures 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.B.5.b 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

See the center of the data as the middle of the data set. Display data generated from statistical questions with dot plots, histograms, or line plots. 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 – quartiles describe the spread of the data and are found in the same manner as finding the median by finding the middle number of both halves of the data as separated by the median. 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 (IQR) is the distance from the first and third quartile and is used to describe the variability of the data set.

Box plots organize data into a display that shows how the shape of the data can be compared. The data is organized into 5 points; the minimum or least data point from the entire set, median, the first quartile or median of the bottom 50% of data, third quartile or median of the top 50% of the data set, and the maximum or the highest value of the data set.

Describe how the data is being collected by using the appropriate units the data is being measured. Describe the data collection by describing how the data was collected to determine if the data is accurate or fairly collected. Determine appropriate labels for the x-axis and y-axis of a histogram. Consider the data collection and units of measure when analyzing data in box plots, or data displays. Describe the attribute being measured.

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

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