Question

Construct a composite index number from the following index numbers and weights:

Index Numbers	127	142	186	172	115
Weight	5	4	3	6	8

• A. $134$
• B. $145$
• C. $143$
• D. $149$

Answer 1

Answer: (C)

$143$

Composite index no. $=\frac{{\sum }_{i=1}^5{\left(\text{index no.}\right)}_i\times {\left(\text{Index no.Weight}\right)}_i}{{\sum }_{i=1}^5{\left(\text{weight}\right)}_i}$
$=\frac{127\times 5+142\times 4+186\times 3+172\times 6+115\times 8}{5+4+3+6+8}$
$=\frac{635+568+558+1038+920}{26}$
$=\frac{3713}{26}=142.8$
$\simeq 143$