Frequency Distribution and Frequent Flier Miles

Topics: Frequency distribution, Decimal, Roman numerals Pages: 13 (1630 words) Published: August 31, 2013
award:
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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 |
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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 |

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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 |

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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...
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