Question

Calculati media aritmetica ponderata a numerelor :
a) 1/3; 1/6; 3/8 cu ponderile 2, 3 respectiv 4.

b)0,5 ; 1,12 ; 3,2 ; 4 cu ponderile 3; 4 ; 5 respectiv 8.

Answer 1

$a)$

$\frac{2* \frac{1}{3}+3* \frac{1}{6}+4* \frac{3}{8}}{2+3+4} = \frac{ \frac{2}{3}+ \frac{1}{2}+ \frac{3}{2}}{9}= \frac{ \frac{4+3+9}{6}}{9}= \frac{ \frac{16}{6} }{9} = \frac{8}{3*9}= \frac{8}{27}$

$b)$

$\frac{3*0,5+4*1,12+5*3,2+8*4}{3+4+5+8}= \frac{1.5+4.48+16+32}{20}= \frac{53,98}{20}=2,699$