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Median2
 

Median2

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    Median2 Median2 Presentation Transcript

    • Median Princy Thomas
    • Median
      • The median is the middle of a distribution: half the scores are above the median and half are below the median. The median is less sensitive to extreme scores than the mean and this makes it a better measure than the mean for highly skewed distributions. The median income is usually more informative than the mean income, of central tendency
    • Summary Measures Central Tendency Mean Median Mode Quartile Geometric Mean Summary Measures Variation Variance Standard Deviation Coefficient of Variation Range
    • Median
      • Robust Measure of Central Tendency
      • Not Affected by Extreme Values
      • In an Ordered Array, the Median is the ‘Middle’ Number
        • If n or N is odd, the median is the middle number
        • If n or N is even, the median is the average of the 2 middle numbers
      0 1 2 3 4 5 6 7 8 9 10 0 1 2 3 4 5 6 7 8 9 10 12 14 Median = 5 Median = 5
    • Individual series or ungrouped data
              • First arrange the values in increasing order.
      • Median = size of n+1 th item 2
    • Question no 1
      • Find the median from the following data
      • 4,45,60,20,83,19,26,11,27,12,52
    • Question No2
      • Find the median from the following data
      • 35,23,45,50,80,61,92,40,52,61
    • Median 2 Discrete series
    • Discrete Series
        • Find the cumulative frequency
        • Then calculate the measure of (N+1)/2 th item .
      • The value we can easily locate with the help of the table. Here the variable is an integral value.
    • Question No 1
      • Find the median from the following data
      • Wages 10 12 15 18 20 25 30
      • .F 3 5 8 12 13 8 7
    • Note 1
      • if the series is is an inclusive one we should change the inclusive series into exclusive one.
      • For eg. 11-15 16-20
      • 10.5-15.5 15.5-20.5
    • Note 2
      • If the classes are not equal, make the classes equal
      • Wrong Form Right Method
      • 10-15 10-20
      • 15-17.5 20-30
      • 17.5-20 30-40
      • 20-30
      • 30-35
      • 35-37.5
      • 37.5-40
    • Continuous Frequency distribution
      • Prepare less than cumulative frequency
      • Find N/2
      • See cumulative frequency just greater than N/2
      • The corresponding class contains the median value and is called the median class
    • The formula for median Class
      • c.f- is the cumulative frequency of the class just preceding the median class
        • C-magnitude of the class interval
        • f- frequency of the median class
    • Note 3
      • Median is the best suitable measure for open ended classes
    • Question 1
      • Compute the median
      • Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70
      • Freq 8 12 20 23 18 7 2
    • Question
      • Draw a less than cumulative frequency curve for the following data and find the median
      10 13 17 20 20 30 65 35 28 12 No of Workers 900-1000 800-900 700-800 600-700 500-600 400-500 300-400 200-300 100-200 0-100 Monthly income