April 22, 2015

Students construct a dot plot from a data set.

Students calculate the mean of a data set and the median of a data set.

Students observe and describe that measures of center (mean and median) are nearly the same for distributions that are nearly symmetrical.

Students observe and explain why the mean and median are different for distributions that are skewed.

Students select the mean as an appropriate description of center for a symmetrical distribution and the median as a better description of center for a distribution that is skewed.

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).