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xi | 5 | 7 | 9 | 10 | 12 | 15 |

fi | 8 | 6 | 2 | 2 | 2 | 6 |

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xi | fi | Cumulative frequency | |xi−M|⟹|xi−7| | fi|xi−M| |

5 | 8 | 8 | 2 | 16 |

7 | 6 | 14 | 0 | 0 |

9 | 2 | 16 | 2 | 4 |

10 | 2 | 18 | 3 | 6 |

12 | 2 | 20 | 5 | 10 |

15 | 6 | 26 | 8 | 48 |

Total | 26 | 84 |

So, Median M=(N/2)thobservation+(N/2+1)thobservation2

M=13thobservation+14thobservation2

⇒M=7+72=7 (Here, 13 and 14 both lies in the cumulative frequency 14, so corresponding observation for both is 7)

Mean deviation about median =∑fi|xi−M|∑fi

=8426

=3.23

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