You entered a number set X of {1,3,5}

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:

{1,3,5}

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 5

1,3,5

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 1

1,3,5

IQR = UQ - LQ

IQR = 5 - 1

IQR = 4

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

Lower Inner Fence (LIF) = 1 - 1.5 x 4

Lower Inner Fence (LIF) = 1 - 6

Lower Inner Fence (LIF) = -5

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

Upper Inner Fence (UIF) = 5 + 1.5 x 4

Upper Inner Fence (UIF) = 5 + 6

Upper Inner Fence (UIF) = 11

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

Lower Outer Fence (LOF) = 1 - 3 x 4

Lower Outer Fence (LOF) = 1 - 12

Lower Outer Fence (LOF) = -11

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

Upper Outer Fence (UOF) = 5 + 3 x 4

Upper Outer Fence (UOF) = 5 + 12

Upper Outer Fence (UOF) = 17

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 -11 < v < -5 and 11 < v < 17

1,3,5

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 < -11 or v > 17

1,3,5