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# Measures Of Central Tendency

## on Apr 27, 2008

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## Measures Of Central TendencyPresentation 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 .