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What is the sum of deviations of the variate values 73, 85, 92, 105, 120 from their mean?

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  1. -2
  2. -1
  3. 0
  4. 5

Answer (Detailed Solution Below)

Option 3 : 0
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Detailed Solution

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Concept:

For the observations

Mean () = 

Deviation of the observation from the mean = xi - 

where i ∈ [1, n]

Calculation:

Mean = 

 =  = 95

Value Mean Deviation of the value
73 95 73 - 95 = -22
85 95 85 - 95 = -10
92 95 92 - 95 = -3
105 95 105 - 95 = 10
120 95 120 - 95 = 25

 

The sum of the deviation = -22 +(-10) + (-3) + 10 + 25 = 0

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