Problem 21AYU

Problem

SMART Car The following data represent the miles per gallon of a random sample of SMART cars with a threecylinder, 1.0-liter engine.

31.5 |
36.0 |
37.8 |
38.4 |
40.1 |
42.3 |

34.3 |
36.3 |
37.9 |
38.8 |
40.6 |
42.7 |

34.5 |
37.4 |
38.0 |
39.3 |
41.4 |
43.5 |

35.5 |
37.5 |
38.3 |
39.5 |
41.5 |
47.5 |

Source: www.fueleconomy.gov |

(a) Compute the z-score corresponding to the individual who obtained 36.3 miles per gallon. Interpret this result.

(b) Determine the quartiles.

(c) Compute and interpret the interquartile range, IQR.

(d) Determine the lower and upper fences. Are there any outliers?

Problem 21AYU

SMART Car The following data represent the miles per gallon of a random sample of SMART cars with a three cylinder, 1.0-liter engine.

31.5 |
36.0 |
37.8 |
38.4 |
40.1 |
42.3 |

34.3 |
36.3 |
37.9 |
38.8 |
40.6 |
42.7 |

34.5 |
37.4 |
38.0 |
39.3 |
41.4 |
43.5 |

35.5 |
37.5 |
38.3 |
39.5 |
41.5 |
47.5 |

Source: www.fueleconomy.gov |

(a) Compute the z-score corresponding to the individual who obtained 36.3 miles per gallon. Interpret this result.

(b) Determine the quartiles.

(c) Compute and interpret the interquartile range, IQR.

(d) Determine the lower and upper fences. Are there any outliers?

Step by step solution

Step 1 of 5

Given Information:

- The given data is:

31.5 |
36.0 |
37.8 |
38.4 |
40.1 |
42.3 |

34.3 |
36.3 |
37.9 |
38.8 |
40.6 |
42.7 |

34.5 |
37.4 |
38.0 |
39.3 |
41.4 |
43.5 |

35.5 |
37.5 |
38.3 |
39.5 |
41.5 |
47.5 |

- Sample size, n = 24