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# Statistics Formulas

Statistics is a branch of mathematics which deals with numbers and data analysis. Statistics is the study of the collection, analysis, interpretation, presentation, and organization of data. Statistical theory defines a statistic as a function of a sample where the function itself is independent of the sample's distribution.

In short, Statistics is associated with collecting, classifying, arranging and presenting numerical data. It allows us to interpret various results from it and forecast many possibilities. Statistics deals with facts, observations and information which are in the form of numeric data only. With the help of statistics, we are able to find various measures of central tendencies and the deviation of different values from the center.

 Related Calculators Calculate Statistics Calculating T Test Statistic Chi Square Statistic Calculator F Test Statistic

## Statistics Formula Sheet

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The important statistics formulas are listed in the chart below:

 Mean $\bar{x}=\frac{\sum x}{n}$ x = Items givenn = Total number of items Median If n is odd, thenM = $(\frac{n+1}{2})$$^{th}$ termIf n is even, thenM = $\frac{(\frac{n}{2})^{th}term+(\frac{n}{2}+1)^{th}term}{2}$ n = Total number of items Mode The value which occurs most frequently Variance $\sigma ^{2}$ = $\frac{\sum (x-\bar{x})^{2}}{n}$ x = Items given$\bar{x}$ = Meann = Total number of items Standard Deviation $S\ =\ \sigma \ =\ \sqrt{\frac{\sum (x-\bar{x})^{2}}{n}}$ x = Items given $\bar{x}$ = Meann = Total number of items

Additional guidelines on all statistics formula are given below. See the below list where all statistical formulas are listed.
 More topics in Statistics Formulas Summation Formulas Mean Median Mode Formula Mean Deviation Formula Standard Deviation Formula Quartile Formula Correlation Coefficient Formula Variance Formula Coefficient of Determination Formula Margin of Error Formula Relative Frequency Formula Linear Regression Formula T Test Formula F Test Formula Z Test Formula Chi Square Formula Confidence Interval Formula Sample Size Formula Z score Formula Anova Formula Degrees of Freedom Formula Central Limit Theorem Formula Standard Error Formula Cpk Formula R Squared Formula Sampling Error Formula Root Mean Square Formula Line of Best Fit Formula Cp Formula Signal to Noise Ratio Formula Frequency Distribution Formula Hypothesis Testing Formula Statistical Significance Formula Gaussian Distribution Formula Population Mean Formula
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