Problem 18E

Ecommerce.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days.

Lead Time (days) |
Frequency |

0 up to 5 |
6 |

5 up to 10 |
7 |

10 up to 15 |
12 |

15 up to 20 |
8 |

20 up to 25 |
7 |

Total |
40 |

a. How many orders were studied?

b. What is the midpoint of the first class?

c. What are the coordinates of the first class for a frequency polygon?

d. Draw a histogram.

e. Draw a frequency polygon.

f. interpret the lead times using the two charts.

Problem 18E

Ecommerce.com, a large Internet retailer, is studying the lead time (elapsed time between when an order is placed and when it is filled) for a sample of recent orders. The lead times are reported in days.

Lead Time (days) |
Frequency |

0 up to 5 |
6 |

5 up to 10 |
7 |

10 up to 15 |
12 |

15 up to 20 |
8 |

20 up to 25 |
7 |

Total |
40 |

a. How many orders were studied?

b. What is the midpoint of the first class?

c. What are the coordinates of the first class for a frequency polygon?

d. Draw a histogram.

e. Draw a frequency polygon.

f. Interpret the lead times using the two charts.

Step by step solution

Step 1 of 6

a. The table shows lead time of sampled orders. It is a 2 x 7 table with top row displaying headers; leading time and frequency of orders.

The total orders sampled for the study is the sum of all frequencies in second column, that is,

Hence, total orders studied are 40.