Question

The following data give the 2008 profits (in millions of dollars) of the six Arizona-based companies for the year 2008 (Fortune, May 5,2008 ). The data represent the following companies, respectively: Freeport-McMoRan Copper \& Gold, Avnet, US Airways Group, Allied Waste Industries, Insight Enterprises, and PetSmart. $2977.0$ $\begin{array}{lllll}393.1 & 427.0 & 273.6 & 77.8 & 258.7\end{array}$ Find the mean and median for these data. Do these data have a mode?

Name: Problem 14, Chapter 3: Introductory Statistics
Uploaded: 2022-04-04T22:15:52-08:00
Duration: 1 min 57 s
Channel: Lucas Finney

    The following data give the 2008 profits (in millions of dollars) of the six Arizona-based companies for the year 2008 (Fortune, May 5,2008 ). The data represent the following companies, respectively:
Freeport-McMoRan Copper \& Gold, Avnet, US Airways Group, Allied Waste Industries, Insight Enterprises, and PetSmart.
$2977.0$
$\begin{array}{lllll}393.1 & 427.0 & 273.6 & 77.8 & 258.7\end{array}$
Find the mean and median for these data. Do these data have a mode?

Introductory Statistics

Prem S. Mann 7th Edition

Chapter 3, Problem 14

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Solved by Expert Lucas Finney

04/04/2022

Step 1

The mean is calculated by summing up all the data points and then dividing by the number of data points. In this case, we have six data points. So, we add up all the profits: \[2977.0 + 393.1 + 427.0 + 273.6 + 77.8 + 258.7 = 4407.2\] Then, we divide this sum by Show more…

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The following data give the 2008 profits (in millions of dollars) of the six Arizona-based companies for the year 2008 (Fortune, May 5,2008 ). The data represent the following companies, respectively: Freeport-McMoRan Copper \& Gold, Avnet, US Airways Group, Allied Waste Industries, Insight Enterprises, and PetSmart. $2977.0$ $\begin{array}{lllll}393.1 & 427.0 & 273.6 & 77.8 & 258.7\end{array}$ Find the mean and median for these data. Do these data have a mode?

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Key Concepts

Arithmetic Mean

The arithmetic mean is a measure of central tendency calculated by summing all the values in a dataset and then dividing by the number of values. It provides a single value that represents the 'average' of the dataset and is widely used to give an indication of the overall level of a set of numbers.

Median

The median is the middle value of a dataset when the values are arranged in numerical order. It splits the dataset into two equal halves and is particularly useful as a measure of central tendency in data that may be skewed or have outliers, since it is less affected by extreme values.

Mode

The mode is the value in a dataset that occurs most frequently. It is another measure of central tendency and is useful for understanding the distribution of the data. A dataset may have one mode, more than one mode, or no mode at all if no value repeats.

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