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   GRE Word Problems Guide
Ch 1: Word Problem Strategies
Ch 2: 5-Step Method
Ch 3: Functions & Symbols
Ch 4: Progressions & Sequences
Ch 5: Percentages
Ch 6: Interest
Ch 7: Ratio & Proportion
Ch 8: Uniform Motion
Ch 9: Work & Rate
Ch 10: Grouping & Counting
Ch 11: Data Interpretation
Ch 12: Averages & Median
 
 

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   Arithmetic Chapter 12: Averages and Medians
Table of Contents  
 

   
Average or
Arithmetic Mean
  is the sum of a set of numbers divided by the total number of elements in the set. Arithmetic Mean is used on the GRE because it is a more precise term than Average.
Range
  is the difference between the highest and lowest numbers in a set.
Median
  If all the numbers in a set are arranged in ascending or descending order, the middle number is the median. If there is an even number of numbers, then the median is half-way between the two middle numbers. If there is an odd number of numbers, it is just the middle number.
Average vs. Median
  The median is different from the arithmetic mean. Half of the people in a country earn more than the median income, and half earn less. The average income does not split the people into a top half and bottom half. For example, if 5 people have weekly incomes of $200, $300, $500, $13000 and $6000, the median is $500, but the average is $4000.
If a large number of people earn very little and a few earn a huge amount, the average would be quite impressive, but the median would be surprisingly low.
   
Example 1

 


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  Contents of Word Problems Chapter: Table of Contents
Chapter 1: Word Problems & Strategies
  Chapter 2: 5-Step Method
  Chapter 3: Functions & Symbols
  Chapter 4: Progressions & Sequences
  Chapter 5: Percentages
  Chapter 6: Interest, Discount & Markups
  Chapter 7:
Ratio & Proportion
  Chapter 8: Uniform Motion
  Chapter 9: Work & Rate
  Chapter 10:
Grouping & Counting
  Chapter 11: Data Interpretation
  Chapter 12: Averages & Mean
 
Table of Contents

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