Statistical Formulas

Mode

1. All classes have the same width.

Modes of Grouped Data

2. The classes have different width.

Height of a Histogram Formula
Statistical Mode Formula

Median

Formula of the Median


Arithmetic Mean

Arithmetic Mean Formula
Arithmetic Mean Formula

Grouped Data

Arithmetic Mean of Grouped Data Formula
Arithmetic Mean of Grouped Data Formula

Quartiles

Calculation of Quatiles for Grouped Data

Deciles

Deciles Formula

Percentiles

Percentile Formula

Average Deviation

Average Deviation Formula
Average Deviation Formula

Grouped Data

Average Deviation for Grouped Data Formula
Average Deviation for Grouped Data Formula

Variance

Variance FormulaVariance Formula
Variance for Grouped Data FormulaVariance for Grouped Data Formula

Grouped Data

Variance for Grouped Data FormulaVariance for Grouped Data Formula
Variance for Grouped Data FormulaVariance for Grouped Data Formula

Standard Deviation

Standard Deviation FormulaStandard Deviation Formula
Standard Deviation for Grouped Data FormulaStandard Deviation for Grouped Data Formula

Grouped Data

Standard Deviation for Grouped Data FormulaStandard Deviation for Grouped Data Formula
Standard Deviation for Grouped Data FormulaStandard Deviation for Grouped Data Formula

Coefficient of Variation

Coefficient of Variation Formula

Standard Scores

Standard Score Formula

Covariance

Covariance Formula
Covariance Formula

Linear Correlation Coefficient

Linear Correlation Coefficient Formula

Linear Regression

Line of Regression of y on x

Line of Regression of y on x Formula

Line of Regression of x on y

Line of Regression of x on y Formula

Central Limit Theorem

Central Limit Theorem Formula
N(0, 1)Central Limit Theorem Formula