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# Mode3

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• 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 )
• 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