1 d x 20 5 2 0 5 10 15 20 22 25 fd 10 6 0 50 120 150

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Unformatted text preview: /50 = Mean deviation 1473/50 = 505 10.1 The co-efficient of mean deviation = mean deviation / mean = 10.1 /20 = .505 Continuous series The procedure remains the same. The only difference is that we have to obtain the midpoints of the various classes and take deviations of these midpoints. The deviations are multiplied by their corresponding frequencies. The value so obtained is added and its average is the mean deviation. Calculate mean deviation for the following data. Class : 5-10 10-15 15-20 20-25 25-30 30-35 35-40 40-45 Frequency : 6 Sikkim Manipal University 5 15 10 5 4 3 2 Page No. 194 Research Methodology Unit 11 Class Frequency Mid x d fd D = x-28.8 FD 5-10 6 7.5 -15 -90 21.5 127.8 10-15 5 12.5 -10 -50 16.3 81.5 15-20 15 17.5 -5 -75 11.3 169.5 20-25 10 (22.5) 0 0 6.3 63 25-30 5 27.5 5 25 1.3 6.5 30-35 4 32.5 10 40 3.7 14.8 35-40 3 37.5 15 45 8.7 26.1 40-45 2 42.5 20 40 13.7 27.4 50 Arithmetic mean -65 A + Σ fx / ΣF = 22.5 + 65/50 = 22.5 +1.3 = 28.8 = ΣfD/N = 516.6/50 = Mean deviation from mean = 10.332 The co-efficient of mean deviation = mean deviation / mean = 10.332 / 28.8 = Sikkim Manipal University 516.6 .3762 Page No. 195 Research Methodology Unit 11 Mean deviation from median To find median Class Frequency CF Midx D = X- 17 5-10 6 6 7.5 9.5 57 10-15 5 11 12.5 4.5 22.5 15-20 15 26 (N/2) = 25 17.5 .5 7.5 20-25 10 36 22.5 5.5 55 25-30 5 41 27.5 10.5 52.5 30-35 4 45 32.5 15.5 62 35-40 3 48 37.5 20.5 61.5 40-45 2 50 42.5 25.5 51 50 Median 369 15 + 30/15 = 15 + 2 = 17 = ΣfD/N = 369/50 = 7.38 = mean deviation / median = 7.38/17 = .434 = model class 15-20 = Sikkim Manipal University 15 + 6/15 X 5 = Mean deviation from mode 15 + 25 – 11/ 15 X 5 = The co-efficient of mean deviation L1 + (n/2 – m/f) C = Mean deviation from median = L1 + (f1-f0 / 2 f1-f0-f2) C Page No. 196 Research Methodology Unit 11 = 15 + (15-5 / 2X15-5-10) X 5 = 15 + (10 / 30-5-10) X 5 = 15 + (10 / 15) X 5 = 15 + 3.33 = 18.33 Class Frequency Mid x D = X- 18.33 fD 5-10 6 7.5 10.83 64.98 10-15 5 12.5 5.83 29.15 15-20 15 17.5 .83 12.45 20-25 10 22.5 4.17 41.7 25-30 5 27.5 9.17 45.85 30-35 4 32.5 14.17 56.68 35-40 3 37.5 19.17 57.57 40-45 2 42.5 24.17 48.34 50 Mean deviation from mode = =...
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