# Frequency Distribution and Frequent Flier Miles

Topics: Frequency distribution, Decimal, Roman numerals Pages: 13 (1630 words) Published: August 31, 2013
award:
8.33 out of
16.66 points

For the following questions, would you collect information using a sample or a population?|

(a)| To calculate the percentage of car owners in New York City|  |  |
| Population |

(b)| To know how many different private airlines provide service in the United States|  |  |
| Sample |

(c)| To estimate weekly earnings of computer programmers in United States|  |  |
| Sample |

(d)| To find the marks of a class of 20 students in a physics exam|  |  |
| Population |

award:
0 out of
16.66 points

From the data in the Statistical Abstract of United States represented below with details, choose the kind of scale that can be used to measure them.|

Index Name| Price|
Containers and Packaging| 162.69|
Food Retailers and Wholesalers| 213.41|
Industrial Transportation| 373.43|
Retailers| 371.73|
|

| Nominal |
| Ordinal |
| Ratio |
| Interval |

award:
16.66 out of
16.66 points

Two thousand frequent business travelers are asked which midwestern city they prefer: Indianapolis, Saint Louis, Chicago, or Milwaukee. 120 liked Indianapolis best, 430 liked Saint Louis, 1360 liked Chicago, and the remainder preferred Milwaukee. Develop a frequency table and a relative frequency table to summarize this information. (Round relative frequency to 3 decimal places.)|

City| Frequency| Relative Frequency|
Indianapolis| 120   | 0.060       |
St. Louis| 430   | 0.215       |
Chicago| 1,360   | 0.680       |
Milwaukee| 90   | 0.045       |
|

(a)| What is this chart called?|
|  |
| Histogram |

(b)| What is the total number of frequencies?|
|  |
| 100 |

(c)| What is the class interval?|
|  |
| 5 |

(d)| What is the class frequency for the 25 to 30 class?|  |  |
| 10 |

(e)| What is the relative frequency of the 25 up to 30 class? (Round your answer to 2 decimal places.)|  |  |
| .10 |

(f)| What is the midpoint of the 15 up to 20 class? (Round your answer to 1 decimal place.)|  |  |
| 17.5 |

(g)| On how many days were there 10 or more packages shipped?|  |  |
| 5 |

award:
12.50 out of
16.66 points

The following frequency distribution reports the number of frequent flier miles, reported in thousands, for employees of Brumley Statistical Consulting, Inc., during the first quarter of 2007.|

Frequent
Flier Miles
(000)| Number of
Employees|
0 up to 6     | 6|  |
6 up to 12     | 11|  |
12 up to 18     | 24|  |
18 up to 24     | 8|  |
24 up to 30     | 2|  |
| | |
Total| 51|  |
| | |
|

(a)| How many employees were studied?|
|  |
| 51 |

(b)| What is the midpoint of the first class? (Round your answer to 1 decimal place.)|  |  |
| 3.0 |

(d)| A frequency polygon is to be drawn. What are the coordinates of the plot for the first class?|  |  |
|   3.0 , 5 |

(a)| How many employees accumulated less than 3000 miles?|  |  |
| 5 |

(d)| Based on the cumulative frequency polygon, about 25 percent of the employees accumulated how many miles or less? (Round your answer to 1 decimal place.)|
6.0  thousand miles.|

For the following questions, would you collect information using a sample or a population?|

(a)| To compare the salary of the software and hardware technicians in Washington|  |  |
| Sample |

(b)| To find the number of countries in the world with the nuclear weapons|  |  |
| Population |

(c)| To find the percentage of users of a soap that a company manufactures|  |  |
| Sample |

(d)| To find how many students in a particular class of a college in New York own PCs|  |  |
| Population |

From the data in the Statistical Abstract...