Question

Asked Oct 6, 2019

A group of five friends are long-distance runners who will be running in an upcoming marathon. To prepare for the marathon, each of the friends recorded the number of miles they ran each week for 12 weeks. The results of the friends' training are shown in the data set provided below. Which of the friends was the most consistent with the number of miles run each week during the training? Hint: You should not need to compute the standard deviation for each friend.

Ashton |
Caleb |
Jordan |
Kyle |
Noah |

24 |
35 |
22 |
15 |
13 |

34 |
36 |
39 |
26 |
29 |

25 |
34 |
26 |
24 |
18 |

31 |
35 |
41 |
25 |
31 |

19 |
37 |
38 |
27 |
15 |

33 |
35 |
37 |
24 |
19 |

27 |
34 |
40 |
25 |
27 |

29 |
36 |
27 |
26 |
32 |

36 |
35 |
21 |
32 |
15 |

16 |
33 |
42 |
24 |
17 |

18 |
36 |
33 |
21 |
28 |

26 |
35 |
35 |
27 |
21 |

Step 1

Given the data of number of miles run per week of 5 runners as shown below

The runners with low standard deviation will be considered as consistent runners as the deviation from mean miles run per week is less compared to others.

Step 2

The mean of all runners is cal...

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