Data from Populations Math Games

3 games

In this series of games, your students will learn to use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. The Data from Populations 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 7.SP.B.4 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

If all measurements in a population are known, no sampling is necessary and data comparisons involve the calculated measures of center. For distributions in which the mean is the better measure of center, variation is measured in terms of how far the data values deviate from the mean. Calculate how far each value is above or below the mean. Determining deviations from the mean is the first step to build a measure of variation based on the spread to either side of the center.

Averaging the absolute values of the deviations leads to a measure of variation that is used to describe the spread of data distribution and to compare distributions. This measure is called the mean absolute deviation, or MAD. Average the absolute values of the deviations from mean to determine MAD. Range (the difference between the minimum and maximum values in a data set) and interquartile range can be used as measures of comparative variability.

Use measures of variability to draw comparative inferences on two data sets. Use the median and mean to compare data sets. Use visual comparisons to make conjectures about the data.

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

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Legends of Math - Ep. 1 Estimated Duration: 12 minutes Help 4-NAX, Lupus and Draco save planets around the universe by destroying meteors through calculations of measures of variability and center!

Newton Pool Estimated Duration: 15 minutes The game consists of hand-crafted levels where the player controls a white ball. The goal of each level is to get the white ball to the end of the level in as few moves as possible, while racking up points by bumping golden balls into obstacles on the way! The game does not have any instructional math content, it simply has math review questions spread throughout.

Galaxy Escape Estimated Duration: 20 minutes 10 Bright Monsters have been captured in space and they need your help to cross the galaxy jumping between platforms, finding them, and releasing them by correctly answering each question. Each monster that you release and unlock will be available to play with in the next level, in the search for the next monster. In your journey, you’ll be able to find power-ups, like ‘Double points’ and ‘Slow down’, which can be activated by finding gems, and their duration can be extended by correctly answering a question. Unlock and release the 10 different monsters and a spaceship along 10 different levels, while you make the most possible points.

Image for Measures of Centers & Variability

Measures of Centers & Variability Estimated Duration: 4 minutes In this lesson, students will learn how to make observations using measures of center and measures of variability. They will explore how to calculate and interpret the mean and median, which help describe the middle or average of a data set. Students will also learn about range and interquartile range (IQR), which provide insights into how spread out the numbers in a data set are.

Data from Populations Math Games

Concepts Covered

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