Question

Find Geometric Mean (G.M) of
X : 4,6,8,10
a) 5.556
b) 9.876
c) 6.619
d) 3.453​

Answer 1

$G.m \: \: of \: the \: given \: data \: is \\ \\ G.m \: = (4 \times 6 \times 8 \times 10) {}^{ \frac{1}{4} } \\ \\ G.m \: = (2 {}^{2} \times 2 \times 3 \times 2 {}^{3} \times 2 \times 5) {}^{ \frac{1}{4} } \\ \\ G.m \: \: = (2 {}^{6} \times 15) {}^{ \frac{1}{4} } \\ \\ G.m \: \: = (2 ){}^{(6 \times \frac{1}{4}) } \times (15) {}^{ \frac{ 1}{4} } \\ \\ G.m \: = 5.56$