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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 2.2, Problem 12E

Textbook Problem

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Consider the following frequency distribution.

Class |
Frequency |

10-19 | 10 |

20-29 | 14 |

30-39 | 17 |

40-49 | 7 |

50-59 | 2 |

Construct a cumulative frequency distribution and a cumulative relative frequency distribution.

To determine

Construct the cumulative frequency and cumulative relative frequency distribution

**Calculation:**

The table represents the five types of class with limits and their corresponding relative frequency.

*Cumulative frequency:*

Cumulative frequency is the sum of all frequencies up to that class. The last class’s cumulative frequency is equal to the sample size

Thus, the cumulative frequency for each class is tabulated below:

Thus the relative frequencies for the five types of classes are obtained below:

Class | Frequency | Cumulative frequency |

10 | 10 | |

14 | ||

17 | ||

7 | ||

2 | ||

*Relative frequency*:

The portion of the data that falls in the corresponding class is relative frequency of that class.

The formula for relative frequency is given below:

Therefore, the relative frequency for the class “10-19” is,

Thus, the relative frequency for each class is tabulated below:

Class | Frequency | Relative frequency |

10 | 0 |

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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