Sider the following datasets. All three of the datasets have the same mean, $\stackrel{}{x}=20$

Dataset $1$: $15,17,19,20,21,23,25$

Dataset $2$: $10,15,18,20,22,25,30$

Dataset $3$: $20,20,20,20,20,20,20$

a$.$ Describe which dataset will have the largest standard deviation and why. Be specific.

b$.$ Describe which dataset will have the smallest standard deviation and why. Be specific.