## Quartiles 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,) | |

Results | |

Number of Obs. (N): | |

First Quartile : ($Q_1$) | |

Second Quartile : ($Q_2$) | |

Third Quartile : ($Q_3$) | |

## Quartiles for grouped data

```
$$
\begin{aligned}
Q_i=l + \bigg(\frac{\frac{iN}{4} - F_<}{f}\bigg)\times h; \quad i=1,2,3
\end{aligned}
$$
```

where

- $l :$ the lower limit of the $i^{th}$ quartile class
- $N=\sum f :$ total number of observations
- $f :$ frequency of the $i^{th}$ quartile class
- $F_< :$ cumulative frequency of the class previous to $i^{th}$ quartile class
- $h :$ the class width