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# Mean, Median, Mode, And Range

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Show's how to find mean, median, mode and range.

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### Mean, Median, Mode, And Range

1. 1. Mean... Median... Mode... Range... What do they mean??
2. 2. Mean... <ul><ul><li>The average of a set of numbers </li></ul></ul>
3. 3. How to  find the mean... <ul><ul><li>Add all the numbers in the set together </li></ul></ul><ul><ul><li>Divide the sum by the number of numbers in the set </li></ul></ul><ul><ul><li>The quotient is the mean of the set of numbers </li></ul></ul><ul><ul><li>Example: 20, 15, 25 </li></ul></ul><ul><ul><ul><li>Add 20 + 15 + 25 = 60 </li></ul></ul></ul><ul><ul><ul><li>Divide 60 by 3 </li></ul></ul></ul><ul><ul><ul><li>The mean is 20 </li></ul></ul></ul>
4. 4. Median... <ul><ul><li>Is the number that is in the middle of a set of numbers (Note: The numbers must be in numerical order) </li></ul></ul><ul><ul><li>If two numbers make up the middle of a set of numbers then the median is the average of these two numbers </li></ul></ul>
5. 5. Find the median... <ul><ul><li>Example 1 </li></ul></ul><ul><ul><ul><li>10, 15 , 20 </li></ul></ul></ul><ul><ul><ul><li>The median of the set of numbers is 15 </li></ul></ul></ul><ul><li>  </li></ul><ul><ul><li>Example 2 </li></ul></ul><ul><ul><ul><li>10, 15 , 20 , 25 </li></ul></ul></ul><ul><ul><ul><li>Add 15 + 20 = 35 </li></ul></ul></ul><ul><ul><ul><li>Divide 35 by 2 = 17.5 </li></ul></ul></ul><ul><ul><ul><li>The median of the set of numbers is 17.5 </li></ul></ul></ul>
6. 6. Mode... <ul><ul><li>The number in a set of numbers that occurs the most often. (Note: Putting the numbers in order will help to identify the mode) </li></ul></ul>
7. 7. Identify the mode... <ul><ul><li>Example: </li></ul></ul><ul><ul><ul><li>10, 15, 10, 15, 20, 25, 15, 30 </li></ul></ul></ul><ul><ul><ul><li>10, 10, 15 , 15 , 15 , 20, 25, 30 </li></ul></ul></ul><ul><li>  </li></ul><ul><ul><li>15 is the mode of this set of numbers because it is the number that occurs the most. </li></ul></ul>
8. 8. Range... <ul><ul><li>The difference between the highest and lowest numbers in a set of numbers (Note: Putting the numbers in numerical order will help) </li></ul></ul>
9. 9. Find the range... <ul><ul><li>Subtract the lowest number from the highest number in a set of numbers </li></ul></ul><ul><ul><li>Example: </li></ul></ul><ul><ul><ul><li>10 , 15, 20, 25, 30. 35, 40, 45, 50 </li></ul></ul></ul><ul><ul><ul><li>50 - 15 = 40 </li></ul></ul></ul><ul><ul><ul><li>40 is the range of this set of numbers </li></ul></ul></ul>
10. 10. It's Time to Practice...   <ul><ul><li>10, 5, 25, 50, 15, 10, 40, 35, 10, 20 </li></ul></ul><ul><ul><li>5, 10, 10, 10, 15, 20, 25, 35, 40, 50 </li></ul></ul><ul><ul><li>What is the mean? </li></ul></ul><ul><ul><li>What is the median? </li></ul></ul><ul><ul><li>What is the mode? </li></ul></ul><ul><ul><li>What is the range? </li></ul></ul><ul><li>Answers: </li></ul><ul><ul><ul><li>Mean: 10 </li></ul></ul></ul><ul><ul><ul><li>Median: 17.5 </li></ul></ul></ul><ul><ul><ul><li>Mode: 10 </li></ul></ul></ul><ul><ul><ul><li>Range: 45 </li></ul></ul></ul>