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central tendency

central tendency

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Transcript

  • 1. Mean Median Mode Range Measures of Central Tendency Any of three measures (mean, median, mode) that represents a type of average of a set of data
  • 2. Mean The mean is the mathematical average of a set of numbers. The mean is commonly referred to as the “average”. The mean is easy to calculate. Measures of Central Tendency MEAN = sum of values number of values
  • 3. Calculate the Mean Find the mean of the data set. 1, 5, 3, 7, 3, 3, 6 (Seven Items) 1 + 5 + 3 + 7 + 3 + 3 + 6 = 28 Add all Values 28 ÷ 7 = 4 Divide the sum by the number of items. The mean price of the candy is 4. Measures of Central Tendency MEAN = sum of values number of values
  • 4. Median The median is the middle value of a set of data. Measures of Central Tendency ODD set of values EVEN set of values 1 3 4 6 7 1 3 4 6 7 8 Median is 4 4 + 6 2 Median is 5 10 2 = = 5 Arrange the values in ascending order. There is one middle value, so find the mean of these values. There are two middle values, so find the mean of these values. 1 3 4 6 7 1 4 3 7 6 1 4 3 7 6 8 Arrange the values in ascending order. 1 3 4 6 7 8
  • 5. Calculate the Median Find the median of the data set. 1, 5, 3, 7, 3, 3, 6 1 3 3 3 5 6 7 Arrange the values in order. 1 3 3 3 5 6 7 The median price of the candy is 3. There is one middle value, so find the mean of these values. Measures of Central Tendency
  • 6. Mode Measures of Central Tendency The mode is the number that occur most often in a set of data.
  • 7. Mode Measures of Central Tendency Find the mode of the data set. 1, 5, 3, 7, 3, 3, 6 The number 3 is the mode because it is the score that occurs the highest number of times.
  • 8. Range Measures of Central Tendency The range is the difference between the least and greatest value in the set.
  • 9. Measures of Central Tendency Find the range of the data set. 1, 5, 3, 7, 3, 3, 6 7 is the greatest value and 1 is the least value Range Subtract the least value from the greatest value 7 - 1 The range price of the candy is 6. 6