**Calculation of median in discrete series : **

Determination of median in discrete series.

1. Cumulative frequencies are determined as the first step.

2. Now, the median’s serial number is found using the following formula : M = Value of \([\frac{N+1} {2}]\) th item Where N = Σf

**Example:** Find out the median value of the following discrete series.

**Item-Value** | 2 | 4 | 6 | 8 | 10 | 12 | 14 |

**Frequency** | 5 | 7 | 12 | 18 | 11 | 6 | 4 |

**Solution:**

**Item-Value** | **Frequency** | **Cumulative Frequency** |

2 | 5 | 5 |

4 | 7 | 12 |

6 | 12 | 24 |

8 | 18 | 42 |

10 | 11 | 53 |

12 | 6 | 59 |

14 | 4 | 63 |

M = Value of \([\frac{N+1}{2}]\) th item

= Value of \([\frac{63+1}{2}]\) th item = value of 32^{th} item

Item 32^{th} is included in the cumulative frequency 42. The value under cumulative frequency 42 is 8.

Hence, Median = 8