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 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, $N$ …
Octiles for grouped data Octiles are the values of arranged data which divide whole data into eight equal parts. They are 7 in numbers namely $O_1,O_2, \cdots, O_7$. Here $O_1$ is first octile, $O_2$ is second octile, $O_3$ is third octile and so on. For discrete frequency distribution, the formula for $i^{th}$ octile is $O_i …
Quartiles Calculator for grouped data Use this calculator to find the Quartiles for grouped (frequency distribution) data. Quartiles Calculator (Grouped Data) Type of Freq. Dist. DiscreteContinuous Enter the Classes for X (Separated by comma,) Enter the frequencies (f) (Separated by comma,) Calculate Results Number of Obs. (N): First Quartile : ($Q_1$) Second Quartile : ($Q_2$) …
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 …
Percentiles for ungrouped data Percentiles are the values of arranged data which divide whole data into hundred equal parts. They are 9 in numbers namely $P_1,P_2, \cdots, P_{99}$. Here $P_1$ is first percentile, $P_2$ is second percentile, $P_3$ is third percentile and so on. The formula for $i^{th}$ percentile is $P_i =$ Value of $\bigg(\dfrac{i(n+1)}{100}\bigg)^{th}$ …
Octiles for ungrouped data Octiles are the values of arranged data which divide whole data into eight equal parts. They are 7 in numbers namely $O_1,O_2, \cdots, O_7$. Here $O_1$ is first octile, $O_2$ is second octile, $O_3$ is third octile and so on. The formula for $i^{th}$ octile is $O_i =$ Value of $\bigg(\dfrac{i(n+1)}{8}\bigg)^{th}$ …
Inter Quartile Range for ungrouped data Inter quartile range is the difference between the third quartile $Q_3$ and first quartile $Q_1$. It is a good measure of spread to use for skewed distribution. Inter-quartile range (IQR) is given by $IQR = Q_3-Q_1$ where, $Q_1$ is the first quartile $Q_3$ is the third quartile The formula …
Quartiles for ungrouped data Quartiles are the values of arranged data which divide whole data into four equal parts. They are 3 in numbers namely $Q_1$, $Q_2$ and $Q_3$. Here $Q_1$ is first quartile, $Q_2$ is second quartile and $Q_3$ is third quartile. The formula for $i^{th}$ quartile is $Q_i =$ Value of $\bigg(\dfrac{i(n+1)}{4}\bigg)^{th}$ observation, …
