# Statistics

The sum of all deviations from the arithmetic mean of the numerical sequence 4, 6, 51, 77, 90, 93, 95, 109, 113, 117 is:

Correct result:

x =  0

#### Solution:

$\Sigma x = 755 \ \\ \bar{x} = \Sigma x / 10 = 75.5 \ \\ \ \\ \Delta_{ 1 } = 75.5 - 4 = 71.5 \ \\ \Delta_{ 2 } = 75.5 - 6 = 69.5 \ \\ \Delta_{ 3 } = 75.5 - 51 = 24.5 \ \\ \Delta_{ 4 } = 75.5 - 77 = -1.5 \ \\ \Delta_{ 5 } = 75.5 - 90 = -14.5 \ \\ \Delta_{ 6 } = 75.5 - 93 = -17.5 \ \\ \Delta_{ 7 } = 75.5 - 95 = -19.5 \ \\ \Delta_{ 8 } = 75.5 - 109 = -33.5 \ \\ \Delta_{ 9 } = 75.5 - 113 = -37.5 \ \\ \Delta_{ 10 } = 75.5 - 117 = -41.5 \ \\ \ \\ x = \Sigma \Delta_i = 0$

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