SD Command

SD( <List of Raw Data> )

Calculates the standard deviation of the numbers in the list.

This command has also the equivalent syntax stdevp( <List of Raw Data> ).

  • SD({1, 2, 3, 4, 5}) yields 1.41

  • stdevp({1, 2, 3, 4, 5}) yields 1.41

SD( <List of Numbers>, <List of Frequencies> )

Calculates the weighted standard deviation of the given numbers.

This command has also the equivalent syntax stdevp( <List of Numbers>, <List of Frequencies> ).

  • SD({1, 2, 3, 4, 5}, {5, 4, 3, 2, 1}) yields 1.25

  • stdevp({1, 2, 3, 4, 5}, {5, 4, 3, 2, 1}) yields 1.25

CAS Syntax

SD( <List of Raw Data> )

Calculates the standard deviation of the numbers in the list.

This command has also the equivalent syntax stdevp( <List of Raw Data> ).

  • SD({1, 2, 3, 4, 5}) yields \(\sqrt{2}\).

  • stdevp({1, 2, 3, 4, 5}) yields \(\sqrt{2}\).

  • SD({-3 + 2 x, -1- 4 x, -2 + 5 x^2}) is evaluated as \( \sqrt{2} \frac{\sqrt{25x⁴ + 10x³ + 28x² - 18x + 3} } { 3 } \).

SD( <List of Numbers>, <List of Frequencies> )

Calculates the weighted standard deviation of the given numbers.

This command has also the equivalent syntax stdevp( <List of Numbers>, <List of Frequencies> ).

  • SD({1, 2, 3, 4, 5}, {5, 4, 3, 2, 1}) yields \(\frac{\sqrt{14}}{3}\)

  • stdevp({1, 2, 3, 4, 5}, {5, 4, 3, 2, 1}) yields \(\frac{\sqrt{14}}{3}\)

See also Mean Command.