Measures Of Central Tendency

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Measures Of Central Tendency

  1. 1. Measures of Central Tendency
  2. 2. Measures of Central Tendency <ul><li>Mean </li></ul><ul><li>Median </li></ul><ul><li>Mode </li></ul><ul><li>Range </li></ul>
  3. 3. Mean: <ul><li>The mean is the mathematical average of a set of numbers . </li></ul><ul><li>The mean is commonly referred to as the “ average .” </li></ul><ul><li>The mean is quick and easy to calculate . </li></ul><ul><li>The mean is used in a variety of ways and in almost every industry. </li></ul>
  4. 4. Calculate the Mean <ul><li>What is the average age of our class? </li></ul><ul><li>Ages: 11, 11, 13, 12, 12, 13, 12, 12, 12 </li></ul><ul><li>Mean = sum of ages/number of students </li></ul><ul><li>Average age = 12 </li></ul>
  5. 5. Mean <ul><li>A real world example of the Mean is Par . </li></ul><ul><li>Par is the average expected score in Golf . </li></ul><ul><li>If a hole is a Par 4, then the average expected score is 4 strokes. </li></ul>
  6. 6. Mean <ul><li>Companies use the mean age of their consumers to develop their advertising. </li></ul><ul><li>Can you think of a commercial that was targeted towards you? </li></ul>
  7. 7. Mean <ul><li>Can you think of another example of how the Mean relates to the real world? </li></ul>
  8. 8. Median <ul><li>The median is the middle value of a set of data. </li></ul><ul><li>Memorizing Tip: remember that the median is in the middle of the road. </li></ul>
  9. 9. Median <ul><li>The median is used in a variety of statistics. </li></ul><ul><li>For example the median income in Alabama is $38,111 (U.S. Census Bureau). </li></ul><ul><li>The median age in Montgomery, AL is 33.7 years old (U.S. Census Bureau). </li></ul>
  10. 10. Median <ul><li>Find the median for the set of data. </li></ul><ul><li>Data set: 2, 5, 6, 7, 1, 3, 0, 8, 4 </li></ul><ul><li>Place in order from least to greatest and find the middle number. </li></ul><ul><li>0, 1, 2, 3, 4 , 5, 6, 7, 8 </li></ul><ul><li>The median is equal to 4! </li></ul>
  11. 11. Mode <ul><li>The mode is the most frequently observed value in a data set . </li></ul><ul><li>The most frequently printed words in English are: the, of, and, a , and to (www.duboislc.org). </li></ul>
  12. 12. Mode <ul><li>The most popular baby names in 2006 were Jacob, Emily, Michael, Emma, Joshua and Madison (Social Security Administration) . </li></ul>
  13. 13. Mode <ul><li>Find the mode for this set of data. </li></ul><ul><li>Data set: 2, 4 , 3, 4 , 3, 4 , 4 , 5, 4 , 5, 5 </li></ul><ul><li>The mode is 4, because it occurs the most times. </li></ul>
  14. 14. Range <ul><li>The range is the difference between the largest and smallest values. </li></ul><ul><li>Range of age: Oldest – Youngest . </li></ul><ul><li>Range of height: Tallest – Shortest . </li></ul><ul><li>Range of speed: Fastest – Slowest . </li></ul><ul><li>Can you think of a use for the range ? </li></ul>
  15. 15. Range <ul><li>Those below the age of 5 , or older than 50 should get vaccinated for the flu (www.cdc.gov) . </li></ul><ul><li>What is the range of age for those who don’t need to be vaccinated? </li></ul><ul><li>50-5=45 </li></ul>
  16. 16. References <ul><li>Income. Retrieved April 25 th , 2008, from http://www.census.gov/hhes/www/income/income04/statemhi.html . </li></ul><ul><li>Key Facts About Seasonal Flu Vaccine. Retrieved April 25 th , 2008, from http://www.cdc.gov/flu/protect/keyfacts.htm . </li></ul><ul><li>Popular Baby Names. Retrieved April 25 th , 2008, from http://www.ssa.gov/oact/babynames . </li></ul><ul><li>The First 100 Most Commonly Used English Words. Retrieved April 25 th , 2008, from http://www.duboislc.org/educationwatch/first100words.html . </li></ul>

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