Standard Difference Formula For Unmarried Data

Standard Deviation formula for Single Data

Perhaps the close widely used difference size is the criterion deviation, because it has mathematical properties that are rattling of import in addition to useful for theoretical give-and-take in addition to subsequent statistical analysis.

Standard Deviation formula for Single Data

S = √((1/n) ∑(x_i - X̄)²)

Information :

S = Standard deviation

x_i = ith-data (x₁. x₂, x₃, ... , x_n)

X̄ = Mean of data

n = Amount frequency of data

Example :

Please attain upwards one's hear the criterion difference of 4, 6, 7, 8, 10, 10, 11 !

Answer :

n = 7

X̄ = (4 +6 + 7 + 8 + 10 + 10 + 11)/7

X̄ = 56/7

X̄ = 8

∑(x_i - X̄)² = (x₁ - X̄)²  + (x₂ - X̄)² + (x₃ - X̄)² + (x₄ - X̄)² + (x₅ - X̄)² + (x₆ - X̄)² + (x₇ - X̄)²

∑(x_i - X̄)² = (4 - 8)²  + (6 - 8)² + (7 - 8)² + (8 - 8)² + (10 - 8)² + (10 - 8)² + (11 - 8)²

∑(x_i - X̄)² = (-4)²  + (-2)² + (-1)² + (0)² + (2)² + (2)² + (3)²

∑(x_i - X̄)² = 16  + 4 + 1 + 0 + 4 + 4 + 9

∑(x_i - X̄)² = 38

S = √((1/n) ∑(x_i - X̄)²)

S = √((1/7) 38)

S = √(38/7)

S = √(38/7)

S = √5.43

S = 2.33

So the criterion difference of 4, 6, 7, 8, 10, 10, 11 is 2.33

Just this article which I tin forcefulness out percentage to you.

I apologize if at that topographic point are incorrect intelligence on this article

The terminate of intelligence wassalamualaikum wr. wb

Reference :

• Book math grouping sales in addition to accounting examine To'ali class 12