You entered a number set X of {29,50,4}

From the 3 numbers you entered, we want to calculate the upper quartile, lower quartile, inner fence points, and outer fence points of that number set:

We need to sort our number set from lowest to highest shown below:

{4,29,50}

V = | y(n + 1) |

100 |

V = | 75(3 + 1) |

100 |

V = | 75(4) |

100 |

V = | 300 |

100 |

V = 3 ← Rounded down to the nearest integer

Upper quartile (UQ) point = Point # 3 in the dataset which is 50

4,29,50

V = | y(n + 1) |

100 |

V = | 25(3 + 1) |

100 |

V = | 25(4) |

100 |

V = | 100 |

100 |

V = 1 ← Rounded up to the nearest integer

Lower quartile (LQ) point = Point # 1 in the dataset which is 4

4,29,50

IQR = UQ - LQ

IQR = 50 - 4

IQR = 46

Lower Inner Fence (LIF) = LQ - 1.5 x IQR

Lower Inner Fence (LIF) = 4 - 1.5 x 46

Lower Inner Fence (LIF) = 4 - 69

Lower Inner Fence (LIF) = -65

Upper Inner Fence (UIF) = UQ + 1.5 x IQR

Upper Inner Fence (UIF) = 50 + 1.5 x 46

Upper Inner Fence (UIF) = 50 + 69

Upper Inner Fence (UIF) = 119

Lower Outer Fence (LOF) = LQ - 3 x IQR

Lower Outer Fence (LOF) = 4 - 3 x 46

Lower Outer Fence (LOF) = 4 - 138

Lower Outer Fence (LOF) = -134

Upper Outer Fence (UOF) = UQ + 3 x IQR

Upper Outer Fence (UOF) = 50 + 3 x 46

Upper Outer Fence (UOF) = 50 + 138

Upper Outer Fence (UOF) = 188

Suspect Outliers are values between the inner and outer fences

We wish to mark all values in our dataset (v) in red below such that -134 < v < -65 and 119 < v < 188

4,29,50

Highly Suspect Outliers are values outside the outer fences

We wish to mark all values in our dataset (v) in red below such that v < -134 or v > 188

4,29,50