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13th Edition

Anderson

Publisher: CENGAGE L

ISBN: 9781305881884

Chapter 2.2, Problem 21E

Textbook Problem

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*Fortune* provides a list of America’s largest corporations based on annual revenue. Shown below are the 50 largest corporations, with annual revenue expressed in billions of dollars (*CNN Money* website, January 15, 2010).

Summarize the data by constructing the following:

- a. A frequency distribution (classes 0–49, 50–99, 100–149, and so on).
- b. A relative frequency distribution.
- c. A cumulative frequency distribution.
- d. A cumulative relative frequency distribution.
- e. what do these distributions tell you about the annual revenue of the largest corporations in America?
- f. Show a histogram. Comment on the shape of the distribution.
- g. what is the largest corporation in America and what is its annual revenue?

**a.**

To determine

Construct a frequency distribution for the data.

**Calculation:**

The data represents the list of 50 America’s largest corporations with annual revenue expressed in billions of dollars and the frequency distribution is constructed by using the class 0-49, 40-99,100-149 and so on.

*Frequency:*

The frequencies are calculated by using the tally mark and the range of the data is from 0 to 449.

- Based on the given information, the class intervals are 0-49, 40-99,100-149, …, 400-449.
- Make a tally mark for each value in the corresponding revenue class and continue for all values in the data.
- The number of tally marks in each class represents the frequency,
*f*of that class.

Similarly, the frequency of remaining classes for the revenue is given below:

Revenue | Tally | Frequency |

0-49 | 6 | |

50-99 |

**b.**

To determine

Construct a relative frequency distribution for the data.

**c.**

To determine

Construct a cumulative frequency distribution for the data.

**d.**

To determine

Construct a cumulative relative frequency distribution for the data.

**e.**

To determine

Explain about the annual revenue of the largest corporations in America using the distributions.

**f.**

To determine

Construct the histogram and comment on the shape of the distribution.

**g.**

To determine

Find the largest corporation in America and find its annual revenue.

STATISTICS F/BUSINESS+ECONOMICS-TEXT

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