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Transcript

  • 1. Part 3 Mode Module 2
  • 2. Mode
    • A Measure of Central Tendency
    • Value that Occurs Most Often
    • Not Affected by Extreme Values
    • There May Not Be a Mode
    • There May Be Several Modes
    • Used for Either Numerical or Categorical Data
    0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Mode = 9 0 1 2 3 4 5 6 No Mode
  • 3. Individual series
    • Arrange the data in an array either in ascending or descending order
    • Find the item which occurs most frequently is the mode
    • Find the mode from the following values
    • 25,35,28,42,62,53,35,28,42,35,23,42,35
  • 4. Question 2
    • Find the mode from the following values
    • 40,60,35,25,81,75,10,90
    • Here Mode is ill defined,or it is bimodel we can use other formula to find out the mode
    • Mode=( 3 median-2 mean )
  • 5. Answer
    • Here mean =52
    • Median = size of the (n+1)/2 th item
    • Size of the 4.5 th item=(40+60)/2=50
    • Mode=3median-2mean
      • =(3*50)-(2*52)=150-104=46//
  • 6. Mode in the case of discrete series
    • Method of inspection
    • Arrange the data in the form of an array
    • Find which variate (value of the item) occurs the maximum no of times.This method is called method of inspection
  • 7. Method of grouping
    • In this method we make six columns
    • Write the original given frequencies
    • Sum of the frequencies taken two at a time starting from first frequency of column 1
    • Sum of the frequencies taken two at a time starting from second frequency of column 1
    • Sum of the frequencies taken three at a time starting from the first frequency of column 1
    • Sum of the frequencies taken three at a time starting from second frequency of column 1
    • Sum of the frequencies taken three at a time starting from third frequency of column 1
  • 8. Why we are using method of Grouping
    • Model class is generally the having the highest frequency.But in some problems the concentration of frequencies may be more around a frequency which is less than the highest frequency.Therefore apply grouping and analysis table to find the correct model class.
  • 9. Question no 1
    • Find Mode from the following observation using grouping method
    • Heights in Inches f
    • 66 1
    • 67 2
    • 68 4
    • 69 3
    • 70 2
    • 71 1
    • 72 2
    • 73 1
    • 74 1
    • 75 1
  • 10. Mode in case of a continuous series
    • Mode lies in the class having the highest frequency.From this class mode is calculated using the interpolation formula,
    • C- the magnitude of the class interval
  • 11. Compute the mode
    • Compute the mode from the following table
    • Size of items Frequency
    • 0-5 20
    • 5-10 24
    • 10-15 32
    • 15-20 28
    • 20-25 20
    • 25-30 16
    • 30-35 14
    • 35-40 10
    • 40-45 8