What is the coefficient of concurrent deviations for the following dat...
Calculation of Coefficient of Concurrent Deviations
- Step 1: Calculate the mean of the given data for supply and demand.
- Step 2: Calculate the deviation of each value from its respective mean for both supply and demand.
- Step 3: Multiply the deviations of each pair of values (one from supply and one from demand) and add them up.
- Step 4: Divide the result obtained in step 3 by the product of the standard deviations of the supply and demand data.
- Step 5: The result obtained in step 4 is the coefficient of concurrent deviations.
CalculationMean of Supply = (68 + 43 + 38 + 78 + 66 + 83 + 38 + 23 + 83 + 63 + 53)/11 = 58.45
Mean of Demand = (65 + 60 + 55 + 61 + 35 + 75 + 85 + 45 + 40 + 85 + 80)/11 = 65.45
Deviation of Supply:
68 - 58.45 = 9.55
43 - 58.45 = -15.45
38 - 58.45 = -20.45
78 - 58.45 = 19.55
66 - 58.45 = 7.55
83 - 58.45 = 24.55
38 - 58.45 = -20.45
23 - 58.45 = -35.45
83 - 58.45 = 24.55
63 - 58.45 = 4.55
53 - 58.45 = -5.45
Deviation of Demand:
65 - 65.45 = -0.45
60 - 65.45 = -5.45
55 - 65.45 = -10.45
61 - 65.45 = -4.45
35 - 65.45 = -30.45
75 - 65.45 = 9.55
85 - 65.45 = 19.55
45 - 65.45 = -20.45
40 - 65.45 = -25.45
85 - 65.45 = 19.55
80 - 65.45 = 14.55
Multiplication of Deviation:
(9.55) x (-0.45) = -4.295
(-15.45) x (-5.45) = 84.2025
(-20.45) x (-10.45) = 213.7025
(19.55) x (-4.45) = -87.1475
(7.55) x (-30.45) = -229.9975
(24.55) x (9.55) = 234.4025
(-20.45) x (19.55) = -400.8975
(-35.45) x (-20.45) = 725.9025
(24.55) x (19.55) = 480.6025
(4.55) x (14.55) = 66.1025
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