Question

Calculate the standard deviation of the first 13 natural numbers​

Answer 1

1st 13 natural numbers are 1,2,3,4,5,6,7,8,9,10,11,12,13.

∑x=2n(n+1)​

        =213(13+1)​

        =213×14​

∴  ∑x=91

Now, ∑x2=6n(n+1)(2n+1)​

                   =613×14×27​

∴  ∑x2=819

⇒  SD=n∑x2​−(n∑x​)2

​

             =13819​−(1391​)2

​

             =63−49

​

             =14

​

             =3.74Answer:

Step-by-step explanation: