Common Core: 7th Grade Math : Informally Assess the Degree of Visual Overlap in Data: CCSS.Math.Content.7.SP.B.3

Study concepts, example questions & explanations for Common Core: 7th Grade Math

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Example Questions

Example Question #11 : Informally Assess The Degree Of Visual Overlap In Data: Ccss.Math.Content.7.Sp.B.3

A university wanted to compare the heights of women on the basketball team and women on the swim team. The data is in the dot plots provided. Using the dot plots provided, what is the mean absolute deviation of the height of swimmers, rounded to the nearest tenth? 

Basketball players

 

Swimmers

Possible Answers:

Correct answer:

Explanation:

The mean absolute deviation is the average distance between each data point and the mean. So the first step to solving for the mean absolute deviation is to solve for the mean.

The mean is the average of a data set. In order to solve for the mean, we add all of our heights together, and divide by the number of people in our data set. 

Next, we subtract to find the distance between each data point and , which is shown in the following table:

Screen shot 2016 03 01 at 1.38.32 pm

Now that we have all of the distances from the mean, we find the average of those differences to find the mean absolute deviation: 

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