What is the standard deviation of 2,3,6,9,10

The standard deviation of 2,3,6,9,10 is √10.

Step-by-step explanation:

Standard Deviation:

It is a quantity expressing by how much the members of a group differ from the mean value for the group. Its symbol is б read as 'sigma'.

Formula:

б = √ (Σ (x-mean) ²/n)

Mean = Σx/n = (2+3+6+9+10) / 5 = 30/5 = 6

Mean = 6

Σ (x-mean) ² = (2-6) ² + (3-6) ² + (6-6) ² + (9-6) ² + (10-6) ²

= 16+9+0+9+16

= 50

б = √ (Σ (x-mean) ²/n)

= √ (50/5)

= √10