Measuresofcentraltendencygrpdata

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Measuresofcentraltendencygrpdata

  1. 1. Measures of Central Tendency Mean, Median and Mode for Grouped Data Basic Statistics
  2. 2. Mean for Grouped Data Xam
  3. 3. Classmark FormulaThe following IQ frequency distribution was obtained from 100randomly selected high school students. Solve the mean. Class Interval f Xm fXm 90 – 98 6 564 94 99 – 107 22 103 2266 108 – 116 40 112 4480 117 – 125 24 121 2904 126 – 134 8 130 1040 N = 100 =11254
  4. 4. Your turn!The following data represent the scores(in words per minute) of 47computer encoders on a speed test. Class Interval f Xm fXm 55 – 60 2 61 – 66 5 67 – 72 8 73 – 78 10 79 – 84 9 85 – 90 8 91 - 96 5 MEAN: ________________
  5. 5. Coded FormulaThe following IQ frequency distribution was obtained from 100randomly selected high school students. Solve the mean. Class Interval f d fd 90 – 98 6 -2 - 12 99 – 107 22 -1 - 22 108 – 116 40 0 0 117 – 125 24 1 24 126 – 134 8 2 16 N = 100 =6
  6. 6. Your turn!The following data represent the scores(in words per minute) of 47computer encoders on a speed test. Compute the mean using theCoded formula. Class Interval f d fd 55 – 60 2 61 – 66 5 67 – 72 8 73 – 78 10 79 – 84 9 85 – 90 8 91 - 96 5 MEAN: ________________
  7. 7. Median for Grouped Data
  8. 8. Computing the Median of Grouped Data Let us illustrate the computation of the Median of Grouped Data using the IQ frequency distribution obtained from 100 randomly selected high school students. 1. Construct the lessClass Interval f <cf than cumulative frequency. 90 – 98 6 6 2. Determine the median 99 – 107 22 28 class. This is the class 108 – 116 40 68 interval containing half of the total frequency in the <cf 117 – 125 24 92 column. 126 – 134 8 100 3. Use the formula to find the median. N = 100
  9. 9. Your turn!The following data represent the scores(in words per minute) of 47computer encoders on a speed test. Class Interval f <cf 55 – 60 2 61 – 66 5 67 – 72 8 73 – 78 10 79 – 84 9 85 – 90 8 91 - 96 5 MEDIAN: ________________
  10. 10. Mode for Grouped Data
  11. 11. Mode for Grouped DataThe following is an illustration on finding the mode of the IQfrequency distribution obtained from 100 randomly selected highschool students. Class Interval f 1. Find the mode class. 90 – 98 6 This is the class with the highest frequency. 99 – 107 22 108 – 116 40 2. Use the formula 117 – 125 24 to find the mode. 126 – 134 8 N = 100 = 112.26
  12. 12. Mode for Grouped Data
  13. 13. Your turn!The following data represent the scores(in words per minute) of 47computer encoders on a speed test. Compute the mode . Class Interval f 55 – 60 2 61 – 66 5 67 – 72 8 73 – 78 10 79 – 84 9 85 – 90 8 91 - 96 5 MODE: ________________

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