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Mean or Median? A statistics class with 40 students

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 10RE Chapter 3.4

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 10RE

 

Mean or Median? A statistics class with 40 students consists of 30 students with no income, 10 students with small incomes from part-time jobs, and a professor with a very large income that is well deserved. Which is better for describing the income of a typical person in this class: mean or median? Explai

Step-by-Step Solution:

Answer

Step 1 of 3</p>

In this case Median is better for describing income of a typical person in this class.

Step 2 of 3</p>

The mean is the one to use with symmetrically distributed data; otherwise, use the median. If you follow this rule, you will get a more accurate reflection of an 'average' value.

The mean is calculated by adding together all the values, and then dividing them by the number of values you have. As long as the data is symmetrically distributed this is fine and if the data is not symmetrical (ie. skewed) it can be misleading.

It only takes a moment's thought to realise that more people earn low salaries than high ones, because a fairly large proportion of the population works part-time - so the data will not be symmetrically distributed. Therefore the mean is not the best 'average' to use in this case.

Step 3 of 3

Chapter 3.4, Problem 10RE is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. Since the solution to 10RE from 3.4 chapter was answered, more than 372 students have viewed the full step-by-step answer. The answer to “Mean or Median? A statistics class with 40 students consists of 30 students with no income, 10 students with small incomes from part-time jobs, and a professor with a very large income that is well deserved. Which is better for describing the income of a typical person in this class: mean or median? Explai” is broken down into a number of easy to follow steps, and 54 words. The full step-by-step solution to problem: 10RE from chapter: 3.4 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. This full solution covers the following key subjects: Income, students, median, mean, class. This expansive textbook survival guide covers 121 chapters, and 3629 solutions.

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Mean or Median? A statistics class with 40 students

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