Statement-1:  $a+b+c+d+e=8$  and  $a^2+b^2+c^2+d^2+e^2=16$, where a,b,c,d,e are non-negative real numbers, then $e\in [0,\frac{16}{5}]$ .
Statement-2: ${\left(\frac{a+b+c+d}{4}\right)}^2\le \frac{a^2+b^2+c^2+d^2}{4}$ where $a,b,c,d\in R$ .

Statement-1 is true, statement-2 is false

Both the statements are true and statement-2 is not the correct explanation for 
statement-1.

Statement-1 is false, Statement-2 is true.

Both the statements are true and statement-2 is correct explanation for statement-1.