1a. I have completed ten runs that start in Dolihner, loop up around past PICS, down to town, out to the Dausokele bridge in Nett, back into town down to Mesenieng, up past the Spanish wall, and then back up main street to Dolihner. Use the data in the table to determine my mean run duration (time in minutes) for these ten runs.

Time CUL (min) [x] | Frequency f | Relative Frequency p(x) | x × p(x) |
---|---|---|---|

66 | 3 | 0.3 | 19.8 |

69 | 2 | 0.2 | 13.8 |

72 | 3 | 0.3 | 21.6 |

75 | 1 | 0.1 | 7.5 |

78 | 1 | 0.1 | 7.8 |

Sums: | 10 | 1.0 | 70.5 |

1b. The mean run duration (time in minutes) for the above ten runs is **70.5 minutes**

2. For the following curves A, B, and C determine the mean μ and estimate the standard deviation
σ. Write your answers in the table provided.

Curve | Mean μ | standard deviation σ |
---|---|---|

A | 4 | 12 |

B | 8 | 8 |

C | 12 | 4 |