Measures Of Central Tendency
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Measures Of Central Tendency

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Measures Of Central Tendency Measures Of Central Tendency Presentation Transcript

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