NY Next Generation Math NY-7.SP.1

Math7th GradeDraw informal comparative inferences about two populations.

The Standard

Construct and interpret box-plots, find the interquartile range, and determine if a data point is an outlier.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students order a data set, find the quartiles, and build a box plot. They use the interquartile range to identify outliers and interpret the plot.
What Mastery Looks Like: A student calculates Q1, the median, Q3, and the interquartile range, then constructs a box plot for a data set without outliers. Given a box plot that shows an outlier, the student uses the interquartile range to identify and interpret the unusual value.
Common Misconceptions: Students may confuse the median with a quartile or subtract Q3 from Q1. They may assume every extreme-looking value is an outlier without checking it against the interquartile range.
How to Assess It: Give students the data set 2, 3, 4, 5, 6, 7, 8 and ask them to construct a box plot and find the interquartile range. Then show a separate box plot with a candidate outlier and ask them to determine and interpret it.

Lesson moves

Write data values on index cards, arrange them in order, and fold the row to locate the median and quartiles.
Ask, "How can two box plots have the same median but very different interquartile ranges?"
Play an outlier-check game where teams calculate both fences for a provided box plot and classify candidate values as outliers or not.
Use a box plot of daily travel times to describe a typical commute, the middle spread, and any unusual day.

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