April 22, 2015

Students explain why a median is a better description of a typical value for a skewed distribution.

Students calculate the 5-number summary of a data set.

Students construct a box plot based on the 5-number summary and calculate the interquartile range (IQR).

Students interpret the IQR as a description of variability in the data.

Students identify outliers in a data distribution.

Teacher and Student versions of full lesson from engageNY

- Mathematics > General
- Mathematics > Algebra

- Grade 9
- Grade 10

Make sense of problems and persevere in solving them.

Reason abstractly and quantitatively.

Model with mathematics.

Use appropriate tools strategically.

Attend to precision.

Look for and make use of structure.

Represent data with plots on the real number line (dot plots, histograms, and box plots).

Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).