170 research methodology unit 11 arithmetic mean is

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Unformatted text preview: their corresponding frequencies, Sikkim Manipal University Page No. 170 Research Methodology Unit 11 Arithmetic mean is calculated by (f1 x1 + f2 x2 + f3x3… + fn xn) / (f1 + f2 + f3… + fn) or fx / f Arithmetic mean = Individual series 1. Find arithmetic mean of the following data. 58 67 60 84 93 98 100 Arithmetic mean = X/n X = the sum of the item n = the number of items in the series. X = 58 + 67+ 60 + 84 + 93 + 98 + 100 = 560 n = 7 X Where = 560/7 = 80 2. Find arithmetic mean for the following distribution 2.0 1.8 2.0 2.0 1.9 2.2 2.0 1.9 2.0 1.8 2.3 2.5 2.3 2.3 Arithmetic mean = X/n Where X = the sum of the item n = the number of items in the series. X = 2.0 + 1.8 + 2.0 + 2.0+ 1.9 + 2.0 + 1.8 + 2.3 + 2.5 + 2.3 + 1.9 + 2.2 + 2.0 + 2.3 = 29 n = 14 X = 29/14 = 2.07 Discrete series 3. Calculate arithmetic mean of the following 50 workers according to their daily wages. Daily wage : Numbers of workers : Sikkim Manipal University 15 18 20 25 30 35 40 42 2 3 5 10 12 10 5 2 Page No. 171 Research Methodology Unit 11 Arithmetic mean using direct formula Wages (x) Frequency ( F ) fx 15 2 30 18 3 54 20 5 100 25 10 250 30 12 360 35 10 350 40 5 200 42 2 84 45 1 45 f =50 Arithmetic mean = fx/ f Where, fx = 473 f = fx =473 0 Arithmetic mean = 1473 /50 29.46 Continuous Series 4. Find arithmetic mean for the following distribution. Marks : 10-20 No. of students : 6 Sikkim Manipal University 20-30 30-40 40-50 50-60 60-70 70-80 80-90 12 18 20 20 14 8 2 Page No. 172 Research Methodology Unit 11 Arithmetic mean using direct method Marks Frequency (f) Mid Value (x) fx 10-20 6 15 90 20-30 12 25 300 30-40 18 35 630 40-50 20 45 900 50-60 20 55 1100 60-70 14 65 910 70-80 8 75 600 80-90 2 85 170 f =100 fx = 4700 Arithmetic mean = fx/ f Where, fx = 4700 f = 100 Arithmetic mean = 4700 / 100 = 47 Geometric Mean Geometric mean is defined as the nth root of the product of N items of a series. If there are two items in the data, we take the square root; if there are three items we take the cube root, and so...
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This note was uploaded on 04/15/2010 for the course MBA mba taught by Professor Smu during the Spring '10 term at Manipal University.

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