descriptive statistics

Karl Pearson coefficient of skewness Calculator

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Pearsons Skewness calculator for Grouped Data

Karl Pearson coefficient of skewness for grouped data Let $(x_i,f_i), i=1,2, \cdots , n$ be given frequency distribution. The Karl Pearson’s coefficient skewness is given by $S_k =\dfrac{Mean-Mode}{sd}=\dfrac{\overline{x}-\text{Mode}}{s_x}$ OR $S_k =\dfrac{3(Mean-Median)}{sd}=\dfrac{3(\overline{x}-M)}{s_x}$ where, $\overline{x}$ is the sample mean, $M$ is the median, $s_x$ is the sample standard deviation. Sample mean The sample mean $\overline{x}$ is given …

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Mean absolute deviation calculator with examples

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Mean Abs. deviation Calculator for Grouped Data

Mean absolute deviation Calculator Use this calculator to find the Mean Absolute Deviation using frequency distribution (uniform or discrete),frequencies and grouped data Mean absolute deviation is another measure of dispersion. MAD is an absolute measure of dispersion. Let $(x_i,f_i), i=1,2, \cdots , n$ be given frequency distribution. The mean of $X$ is denoted by $\overline{x}$ …

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Five (5) number summary calculator with examples

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Five Number Summary Calculator for ungrouped data

Five number summary for ungrouped data A five number summary is a quick and easy way to determine the the center, the spread and outliers (if any) of a data set. 5 number summary includes five values, namely, minimum value ($\min$), first quartile ($Q_1$), $\text{median }$ ($Q_2$), third quartile ($Q_3$), maximum value ($\max$). The five …

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Deciles Calculator for Ungrouped Data with Examples

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Deciles Calculator for Ungrouped data

Deciles for ungrouped data Deciles are the values of arranged data which divide whole data into ten equal parts. They are 9 in numbers namely $D_1,D_2, \cdots, D_9$. Here $D_1$ is first decile, $D_2$ is second decile, $D_3$ is third decile and so on. The formula for $i^{th}$ decile is $D_i =$ Value of $\bigg(\dfrac{i(n+1)}{10}\bigg)^{th}$ …

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Bowley’s Coefficient of Skewness Calculator for grouped data

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Bowleys Skewness calculator for Grouped Data

Bowley’s Coefficient of Skewness for grouped data Bowley’s coefficient of skewness is based on quartiles of the data. It is based on the middle 50 percent of the observations of data set. It means the Bowley’s coefficient of skewness leaves the 25 percent observations in each tail of the data set. For a symmetric distribution, …

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Moment coefficient of kurtosis calculator for ungrouped data

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Kurtosis calculator for Ungrouped Data

Kurtosis Kurtosis is the peakedness of a frequency curve. Even if two curves have the same average, dispersion and skewness, one may have higher (or lower) concentration of values near the mode, and in this case, its frequency curve will show a sharper peak (or flatter peak) than the other. This characteristics of a frequency …

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Moment coefficient of kurtosis calculator for grouped data

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Kurtosis Calculator for grouped data

Moment coefficient of kurtosis for grouped data Let $(x_i,f_i), i=1,2, \cdots , n$ be given frequency distribution. The mean of $X$ is denoted by $\overline{x}$ and is given by $$ \begin{eqnarray*} \overline{x}& =\frac{1}{N}\sum_{i=1}^{n}f_ix_i \end{eqnarray*} $$ The moment coefficient of kurtosis (also known as Pearson’s moment coefficient of kurtosis) is denoted by $\beta_2$ and is defined …

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