Question

Given the following frequency table of data, what is the potential outlier?

Value |
Frequency |
---|---|

15 | 1 |

16 | 0 |

17 | 3 |

18 | 4 |

19 | 6 |

20 | 10 |

21 | 3 |

22 | 2 |

23 | 1 |

24 | 0 |

25 | 0 |

26 | 0 |

27 | 0 |

28 | 0 |

29 | 0 |

30 | 1 |

Select the correct answer below:

30

18

23

19

17

Answer #1

Value |
Frequency |
cumulative |

15 | 1 | 1 |

16 | 0 | 1 |

17 | 3 | 4 |

18 | 4 | 8 |

19 | 6 | 14 |

20 | 10 | 24 |

21 | 3 | 27 |

22 | 2 | 29 |

23 | 1 | 30 |

24 | 0 | 30 |

25 | 0 | 30 |

26 | 0 | 30 |

27 | 0 | 30 |

28 | 0 | 30 |

29 | 0 | 30 |

30 | 1 | 31 |

quartile Q1 =(n+!)/4 th value =(31+1)/4 th value =8 th value =18

Q3 =3*(n+!)/4 th value =3*(31+1)/4 th value =24 th value =20

therefore lower fence limit =Q1-1.5*(Q3-Q1)=18-1.5*(20-18)=15

upper fence limit =Q3+1.5*(Q3-Q1)=20+1.5*(20-18)=23

as 30 falls outside this region

**30 can be considered a potential outlier**

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