Median Command

Median[ <List of Raw Data> ]

Determines the median of the list elements.

Examples:

• Median[{1, 2, 3}] yields 2.
• Median[{1, 1, 8, 8}] yields 4.5.

Median[ <List of Numbers>, <List of Frequencies> ]

Calculates the weighted median of the list elements.

Example:

• Median[{1, 2, 3}, {4, 1, 3}] yields 1.5.
• Median[{1, 2, 3}, {4, 1, 6}] yields 3.

Note:

If the length of the given list is even, the arithmetic mean of the two center elements is returned.

CAS Syntax

Median[ <List of Numbers> ]

Determines the median of the list elements.

Examples:

• Median[{1, 2, 3}] yields 2.
• Median[{1, 1, 8, 8}] yields the numeric value 4.5 or its evaluation $\frac{9}{2}$

Median[ <List of Numbers>, <List of Frequencies> ]

Calculates the weighted median of the list elements.

Example:

Median[{1, 2, 3, 4}, {4, 1, 4, 9}] yields 3.5.

Note: If the length of the given list is even, the arithmetic mean of the two center elements is returned.

See also Mean command.