Maple Student Edition
Maple Personal Edition
Maple Player for iPad
Maple T.A. MAA Placement Test Suite
Maple T.A. Connector for Blackboard Software
Möbius Project Home Page
View Math Apps
Machine Design / Industrial Automation
System Simulation and Analysis
Model development for HIL
Plant Modeling for Control Design
Other Application Areas
High Schools & Two-Year Colleges
Testing & Assessment
High Performance Computing
MapleSim Model Gallery
User Case Studies
Exploring Engineering Fundamentals
Teaching Concepts with Maple
Maplesoft Welcome Center
Teacher Resource Center
Student Help Center
stats[describe,skewness] - Moment Coefficient of Skewness
(optional, default=0) Number of constraints, 1 for sample, 0 for full population
Important: The stats package has been deprecated. Use the superseding package Statistics instead.
The function skewness of the subpackage stats[describe, ...] computes the moment coefficient of skewness of the given data. It is defined to be the third moment about the mean, divided by the third power of the standard deviation.
The skewness measures the degree to which a distribution is asymmetric. For a symmetric distribution, the skewness is zero. If a distribution has a longer tail to the left than to the right, it is said to have negative skewness. If the reverse is true, then the distribution has a positive skewness.
Classes are assumed to be represented by the class mark, for example 10..12 has the value 11. Missing data are ignored.
The computation of the skewness involves that of the standard deviation. Since, the definition of standard deviation varies according to whether it is computed for the whole population, or only for a sample, then so does the skewness vary. The parameter Nconstraint controls this behavior. For more information on this subject, refer to describe[standarddeviation].
There are other possibilities for the definition of the skewness, as can be seen in various books on statistics.
The command with(stats[describe],skewness) allows the use of the abbreviated form of this command.
This data is symmetric:
This data has negative skewness: (the items are more to the right)
This data has positive skewness: (the items are more to the left)
describe(deprecated)[kurtosis], describe(deprecated)[moment], describe(deprecated)[standarddeviation], describe(deprecated)[variance], Statistics, Statistics[Skewness], transform(deprecated)[classmark]
Download Help Document