As a review of 6th grade statistics concepts, I show how to make a histogram using quiz scores as data. In a histogram, data is grouped into "bins". Before we can do that, we need to calculate the bin width. Simply find the range (maximum - minimum) and divide that by how many bins you'd like to have. A rough guideline for the number of bins is: take the square root of the number of data values you have. In this case, I have 20 data values, and square root of 20 is between 4 and 5, so 4-5 bins is reasonable.
I also discuss the central tendency (using mean) and the variability (using mean absolute deviation) of the data.
The 2nd part of this lesson (where we look at a box-and-whisker plot and more data analysis) is at https://www.youtube.com/watch?v=Bk_w0euUZcM
This lesson can be used in 6th grade (when students learn to make histograms) or in 7th grade (for review).
Learn more 6th grade math with Math Mammoth grade 6 curriculum at http://www.mathmammoth.com/complete/grade_6.php and 7th grade math with Math Mammoth grade 7 curriculum at http://www.mathmammoth.com/complete/grade_7.php
Tagged under: Histogram,Statistics (Field Of Study), absolute deviation,grade 6,grade 7,math
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