Summary of Calculating Mean and Median of a Dataset: 4A

This page would contain resource information like a glossary of terms from the section, key equations, and a reminder of concepts that were covered.

Make this more relevant to what students want — help them to build their processes, study guides, mnemonics, and memory dump material.

Essential Concepts

  • The mean of a dataset can be computed by summing the data values and dividing by the number of values.
  • The median of a dataset can be computed by ordering the data values and identifying the value in “the middle”.
  • The mean represents the balance point of the data, and the median represents the 50th percentile, or the value that splits the data in half.

Key Equations

  • Mean

[latex]\dfrac{\text{sum of data values}}{\text{total number of data values}}[/latex]               or              [latex]\bar{x}=\dfrac{\sum{x}}{n}[/latex]

where [latex]\bar{x}[/latex] is the mean, [latex]{\sum{x}}[/latex] is the symbol for “sum of”, [latex]{x}[/latex] represents the data values, and [latex]{n}[/latex] is the total number of data values.

Glossary

mean
the arithmetic mean of a list of numbers, commonly called the “average”.
median
the “middlemost” number.

Put formal DCMP I Can statements to prepare for the self-check.

These I Can Statements are new (the first one is the “you will understand” rephrased as an I Can):

  • I can use the mean and median as numerical measures to represent the “center” of quantitative data.
  • I can calculate the mean and median with technology to make comparisons between groups.
  • I can make connections between the measures of center and graphical representations of data (e.g., histogram).