Respiratory rate | 10 | 15 | 20 | 25 | 30 | 35 | 40 | 45 | 50 |

No. of Person | 8 | 12 | 36 | 25 | 28 | 18 | 9 | 12 | 6 |

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x |
f |
cf |

10 | 8 | 8 |

15 | 12 | 20 |

20 | 36 | 56 |

25 | 25 | 81 |

30 | 28 | 109 |

35 | 18 | 127 |

40 | 9 | 136 |

45 | 12 | 148 |

50 | 6 | 154 |

N = 154 |

Now,

Q_{3} = \(3\left ( \frac{N + 1}{4} \right )^{th}\) item

= \(3 \times \frac{155}{4}\) = 116.25

In c,f column, the value just greater than 116.25 is 127. ∴ Q_{3} = 35

Also,

D_{6} = \(6\left ( \frac{N + 1}{10} \right )^{th}\) item

= \(6 \times \frac{155}{10}\) = 93^{th}

In c,f column, the value just greater than 93 is 109. ∴ D_{6} = 30

Also,

P_{80} = \(80\left ( \frac{N + 1}{100} \right )^{th}\) item

= \(80 \times \frac{155}{100}\) = 124^{th}

In c,f column, the value just greater than 124 is 127. ∴ P_{80} = 35

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