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Descriptive Statistics Calculators

Geometric Mean for ungrouped data Calculator

  • STATISTICS
Geometric Mean for ungrouped data Use this calculator to find the Geometric Mean for ungrouped (raw) data. Geometric Mean Calculator Enter the X Values (Separated by comma,) Calculate Results Number of Obs. (n): Geometric Mean : ($GM$) Geometric Mean for ungrouped data Let $x_i, i=1,2, \cdots , n$ be $n$ observations then the Geometric mean of $X$ is denoted by $GM$ and is given by $$ \begin{eqnarray*} GM& =(x_1\times x_2 \times \cdots \times x_n)^{1/n}=\bigg(\prod_{i=1}^{n}x_i\bigg)^{1/n} \end{eqnarray*} $$

Harmonic Mean Calculator for grouped data Calculator

  • STATISTICS
Harmonic Mean Calculator for grouped data Harmonic mean is an important measure of central tendency of the data. Harmonic mean is used for calculating average of ratios. Most commonly used ratios are speed and time, work and time, dividend per share of companies, cost and units materials, etc. Use this calculator to find the Harmonic Mean for grouped data(frequency distribution). Calculator Harmonic Mean for Grouped Data Calculator Type of Frequency Distribution DiscreteContinuous Enter the Classes for X (Separated by comma,) Enter the frequencies (f) (Separated by comma,) Calculate Harmonic Mean Results Number of Observation (N): Harmonic Mean : frequency distribution : How to find harmonic mean of grouped data?

Harmonic Mean for ungrouped data Calculator

  • STATISTICS
Harmonic Mean for ungrouped data Use this calculator to find the Harmonic Mean for ungrouped (raw) data. Harmonic Mean Calculator Enter the X Values (Separated by comma,) Calculate Results Number of Obs. (n): Harmonic Mean : ($HM$) Harmonic Mean for ungrouped data Use this calculator to find the Harmonic Mean for ungrouped (raw) data. Let $x_1, x_2, \cdots , x_n$ be $n$ observations on a variable $X$. Then the Harmonic Mean of these $n$ observations is denoted by $H.

Inter Quartile Range for grouped data Calculator

  • STATISTICS
Inter Quartile Range for grouped data Use this calculator to find the Inter Quartile Range for grouped (frequency distribution) data. Inter Quartile Range Calculator (Grouped Data) Type of Frequency Distribution DiscreteContinuous Enter the Classes for X (Separated by comma,) Enter the frequencies (f) (Separated by comma,) Calculate Results Number of Observation (N): First Quartile : ($Q_1$) Second Quartile : ($Q_2$) Third Quartile : ($Q_3$) Inter Quartile Range : $IQR$ How to use Inter Quartile Range Calculator?

Inter Quartile Range for ungrouped data Calculator

  • STATISTICS
Inter Quartile Range for ungrouped data Use this calculator to find the Inter Quartile Range (IQR) for ungrouped (raw) data. Inter Quartile Range Calculator Enter the X Values (Separated by comma,) Calculate Results Number of Obs. (n): Ascending order of X values : First Quartile :$Q_1$ Second Quartile :$Q_2$ Third Quartile :$Q_3$ Inter-Quartile Range :$IQR$ Inter Quartile Range for ungrouped data Formula $IQR =Q_3-Q1$ where $Q_1$ is the first quartile $Q_3$ is the third quartile

Kelly Coefficient of Skewness for grouped data Calculator

  • STATISTICS
Kelly’s Coefficient of Skewness for grouped data Use this calculator to find the Kelly’s coefficient of skewness for grouped (raw) data. Kelly's Coeff. of Skewness Calculator Type of Freq. Dist. DiscreteContinuous Enter the Classes for X (Separated by comma,) Enter the frequencies (f) (Separated by comma,) Calculate Results Number of Obs. (n): First Decile : ($D_1$) Sample Median : ($D_5$) Nineth Decile : ($D_9$) Kelly's Coeff. of Skewness : Kelly’s Coefficient of Skewness for grouped data $$ \begin{eqnarray*} Sk& = &\frac{D_9+D_1 -2*Median}{D_9-D_1} \end{eqnarray*} $$

Kelly Coefficient of Skewness for ungrouped data Calculator

  • STATISTICS
Kelly’s Coefficient of Skewness for ungrouped data Use this calculator to find the Kelly’s coefficient of skewness for ungrouped (raw) data. Kelly's Coeff. of Skewness Calculator Enter the X Values (Separated by comma,) Calculate Results Number of Obs. (n): Ascending order of X values : First Decile : ($D_1$) Sample Median : ($D_5$) Nineth Decile : ($D_9$) Kelly's Coeff. of Skewness : Kelly’s Coefficient of Skewness for ungrouped data $$ \begin{eqnarray*} Sk& = &\frac{D_9+D_1 -2*Median}{D_9-D_1} \end{eqnarray*} $$

Mean Absolute Deviation for grouped data Calculator

  • STATISTICS
Mean Absolute Deviation for grouped data Use this calculator to find the Mean Absolute Deviation for grouped (raw) data. Mean Absolute Deviation Calculator Type of Freq. Dist. DiscreteContinuous Enter the Classes for X (Separated by comma,) Enter the frequencies (f) (Separated by comma,) Calculate Results Number of Obs. (n): Sample Mean : ($\overline{x}$) Mean Absolute Deviation : (MAD) Mean Absolute Deviation Let $x_i, i=1,2, \cdots , n$ be $n$ observations then the mean of $X$ is denoted by $\overline{x}$ and is given by $$ \begin{aligned} \overline{x}& =\frac{1}{N}\sum_{i=1}^{n}f_ix_i.

Mean Absolute Deviation for ungrouped data Calculator

  • STATISTICS
Mean Absolute Deviation for ungrouped data Use this calculator to find the variance and standard deviation for ungrouped data. Mean Absolute Deviation Calculator Enter the X Values (Separated by comma,) Calculate Results Number of Obs. (n): Sample Mean : ($\overline{x}$) Mean Absolute Deviation : (MAD) Mean Absolute Deviation Let $x_i, i=1,2, \cdots , n$ be $n$ observations then the mean of $X$ is denoted by $\overline{x}$ and is given by $$ \begin{aligned} \overline{x}& =\frac{1}{n}\sum_{i=1}^{n}x_i.

Moment Coefficient of Kurtosis for grouped data Calculator

  • STATISTICS
Moment Coefficient of Kurtosis for grouped data Use this calculator to find the Coefficient of Kurtosis based on moments for grouped (raw) data. Moment coeff. of kurtosis Type of Freq. Dist. DiscreteContinuous Enter the Classes for X (Separated by comma,) Enter the frequencies (f) (Separated by comma,) Calculate Results Number of Obs. (n): Mean of X values: First Central Moment :($\mu_1$) Second Central Moment :($\mu_2$) Third Central Moment :($\mu_3$) Fourth Central Moment :($\mu_4$) Coeff.

Moment Coefficient of Kurtosis for ungrouped data Calculator

  • STATISTICS
Moment Coefficient of Kurtosis for ungrouped data Use this calculator to find the Coefficient of Kurtosis based on moments for ungrouped (raw) data. Moment coeff. of kurtosis Enter the X Values (Separated by comma,) Calculate Results Number of Obs. (n): Mean of X values: First Central Moment :($\mu_1$) Second Central Moment :($\mu_2$) Third Central Moment :($\mu_3$) Fourth Central Moment :($\mu_4$) Coeff. of Kurtosis :($\beta_2$) Coeff. of Kurtosis :($\gamma_2$) Moment Coefficient of Kurtosis for ungrouped data The moment coefficient of kurtosis is denoted as $\beta_2$ and is defined as $$ \begin{equation} \beta_2=\frac{m_4}{m^2_2} \end{equation} $$