Mathematics & statistics

Binomial Theorem

EXPLORING THIS TOPO IN THE MathWorld classroom We have several closely related results that are variously known as the binomial theorem according to the source. More confusing is the fact that some of these (and others) closely related results are variously known as the binomial formula, the binomial expansion and binomial identity, with identity itself […]

Mathematics & statistics

Box plot

In descriptive statistics, a box plot or boxplot is a method for graphically depicting groups of numerical data through their quartiles. Box plots may also have lines extending vertically from the boxes (whiskers) indicating variability outside the upper and lower quartiles, hence the terms box-and-whisker plot and box-and-whisker diagram. Outliers may be plotted as individual […]

Mathematics & statistics

Critical Values of the Chi-Square Distribution

This table contains the basic estimations of the chi-square circulation. On account of the absence of balance of the chi-square appropriation, separate tables are accommodated the upper and lower tails of the dispersion.  A test measurement with ν degrees of opportunity is processed from the information. For upper-tail uneven tests, the test measurement is contrasted […]

Mathematics & statistics

Data Analytics

What Is Data Analytics? Data analytics is the science of analyzing raw data in order to make conclusions about that information. Many of the techniques and processes of data analytics have been automated into mechanical processes and algorithms that work over raw data for human consumption Data analytics techniques can uncover patterns and measurements that […]

Mathematics & statistics


A permutation, also called an “arrangement number” or “order,” is a rearrangement of the elements of an ordered list S into a one-to-one correspondence with S itself. The number of permutations on a set of n elements is given by n! (n factorial; Uspensky 1937, p. 18). For example, there are 2!=2·1=2 permutations of {1,2}, […]

Mathematics & statistics

Monte Carlo Simulation

You can use the Monte Carlo Simulation to generate random variables with the help of a mathematical technique. You can use this technique to determine uncertainty and modeling the risk of a system. You use random inputs and variables according to the simple probability distribution, such as log-normal. This simulation helps generate the path and […]

Monte carlo simulation
Mathematics & statistics

Empirical Rule Calculator

This empirical rule calculator is often employed to calculate the share of values that fall within a specified number of ordinary deviations from the mean. It also plots a graph of the results. Simply enter the mean (M) and variance (SD), and click on the “Calculate” button to get the statistics. The Empirical Rule The […]

empirical rule
Mathematics & statistics


Description It is also known as a dispersion graph, point graph, X-Y graph, dispersion graph or dispersion diagram. Scatterplots utilize a collection of points positioned using Cartesian coordinates in order to display the values of two variables. By viewing a variable in each axis, it is possible to detect whether there is a relationship or […]

Mathematics & statistics


Stratification means arranging something, or something that has been arranged, into categories. By the time you figure out the complex social stratification of your high school class, from jocks to nerds and everything between, you’re ready to graduate. Stratification system or formation of layers , classes, or classifications. Stratification is utilized to depict a specific […]

Mathematics & statistics

What is the Coefficient of Variation?

A coefficient of variation (CV) shall be a measure of relative variability. It is the ratio of the standard deviation to the mean (mean). For instance, the expression “The standard deviation is 15% of the mean” is a CV. A CV is particularly useful when comparing the results of two different surveys or tests that […]


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