Can't understand how to answer

Ashley:

Sqrt((1-3.5)^2(1/6)+(2-3.5)^2(1/6)+(3-3.5)^2(1/6)+(4-3.5)^2(1/6)+(5-.3.5)^2(1/6)+(6-3.5)^2(1/2)

Sqrt [ (1-3.5) ²(1/6)+(2-3.5) ²(1/6)+(3-3.5) ²(1/6)+(4-3.5) ²(1/6)+(5-.3.5) ²(1/6)+(6-3.5) ²(1/2) ]

Are you sure the last one is 1/2? All the others are 1/6. I am going to change it to 1/6. If I am wrong it doesn't matter much you can still work it out easily enough.

These are all numbers so you could just do them on your calc but lets look at it anyway.

Sqrt [ (1-3.5) ²(1/6)+(2-3.5) ²(1/6)+(3-3.5) ²(1/6)+(4-3.5) ²(1/6)+(5-.3.5) ²(1/6)+(6-3.5) ²(1/6) ]

= Sqrt [ (-2.5) ²(1/6)+(-1.5) ²(1/6)+(-0.5) ²(1/6)+(0.5) ²(1/6)+(1.5) ²(1/6)+(2.5) ²(1/6) ]

= Sqrt [ {(-2.5) ²+(-1.5) ²+(-0.5) ²+(0.5) ²+(1.5) ²+(2.5) ²} / 6 ]

= Sqrt [ {(2.5) ²+(1.5) ²+(0.5) ²+(0.5) ²+(1.5) ²+(2.5) ²} / 6 ]

= Sqrt [2 {(2.5) ²+2(1.5) ²+2(0.5) ²} / 6 ]

= Sqrt [ {(2.5) ²+(1.5) ²+(0.5) ²} / 3 ]

= Sqrt [ 8.75 / 3 ]

= Sqrt [ 35/12 ]