Kelly’s Coefficient of Skewness for Ungrouped data | Formula | Examples

Kelly’s Coefficient of Skewness for Ungrouped data Kelly’s coefficient of skewness is based on deciles or percentiles of the data. The Bowley’s coefficient of skewness 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 …

Kelly’s coefficient of skewness for grouped data | Formula | Examples

Kelly’s coefficient of skewness for grouped data Kelly’s coefficient of skewness is based on deciles or percentiles of the data. The Bowley’s coefficient of skewness 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 …

What is Karl Pearson coefficient of skewness Calculator | formula | Example for ungrouped data

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

Coefficient of variation for ungrouped data

Coefficient of variation for ungrouped data Coefficient of variation is an absolute measure of variation and is used for the comparison of variability between two or more frequency distribution. Let $x_i, i=1,2, \cdots , n$ be $n$ observations. Coefficient of variation formula is given by $CV =\dfrac{s_x}{\overline{x}}\times 100$ where, $\overline{x} =\dfrac{1}{n}\sum_{i=1}^{n}x_i$ is the sample mean …

Coefficient of variation for grouped data

Coefficient of variation for grouped data Let $(x_i,f_i), i=1,2, \cdots , n$ be given frequency distribution. Coefficient of variation formula is given by $CV =\dfrac{s_x}{\overline{x}}\times 100$ where, $\overline{x} =\dfrac{1}{N}\sum_{i=1}^{n}f_ix_i$ is the sample mean of $X$, $N$ total number of observations, $s_x=\sqrt{V(x)}$ is the standard deviation of $X$, $s_x^2=V(x)=\dfrac{1}{N}\sum_{i=1}^{n}f_ix_i^2 -(\overline{x})^2$ is the variance of $X$ If …

Mean absolute deviation calculator for ungrouped data

Mean absolute deviation for ungrouped data Mean absolute deviation is another measure of dispersion. MAD is an absolute measure of dispersion. Let $x_i, i=1,2, \cdots , n$ be $n$ observations. The mean of $X$ is denoted by $\overline{x}$ and is given by $$\begin{eqnarray*} \overline{x}& =&\frac{1}{n}\sum_{i=1}^{n}x_i \end{eqnarray*}$$ The mean absolute deviation about mean is …

Percentiles Calculator for grouped data with examples

Percentiles for grouped data Percentiles are the values which divide whole distribution into hundred equal parts. They are 99 in numbers namely $P_1, P_2, \cdots, P_{99}$. Here $P_1$ is first percentile, $P_2$ is second percentile and so on. For discrete frequency distribution, the formula for $i^{th}$ percentile is $P_i =\bigg(\dfrac{i(N)}{100}\bigg)^{th}$ value, $i=1,2,\cdots, 99$ where, $N$ …

Inter Quartile Range Calculator for grouped data with examples

Inter Quartile Range for Grouped Data Calculator Use this calculator to find the Inter Quartile Range for grouped (frequency distribution) data. Calculator 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 …