Calculate the weighted aggregative index number for the following considering the current period consumption as a standard- begin array - c - c - c - c - c -Whine- P - 0 - Q - 0 - P - 1 - Q - 1 WhineA - 1 - 12 - 3 - 15 1WhineB - 6 - 10 - 8 - 11 WhineC - 3 - 9 - 4 - 7 1WhineD - 12 - 15 - 19 - 20 1WhineE - 8 - 25 - 13 - 1811Whine array All the prices are in dollars-A- 158-56B- 160-72C- 159-46D- 157-82

The correct option is C 159.46 [ amp; P_0 amp; Q_0 amp; P_1 amp; Q_1 amp; P_1Q_1 amp; P_0Q_1; A amp; 1 amp; 12 ...

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Standard XI

Statistics

Paasche's Price Index

Calculate the...

Question

Calculate the weighted aggregative index number for the following considering the current period consumption as a standard:

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} A & 1 & 12 & 3 & 15 B & 6 & 10 & 8 & 11 C & 3 & 9 & 4 & 7 D & 12 & 15 & 19 & 20 E & 8 & 25 & 13 & 18 \end{matrix}$

All the prices are in dollars.

158.56

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159.46

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160.72

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157.82

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Solution

The correct option is B
159.46

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} & P_{1} Q_{1} & P_{0} Q_{1} A & 1 & 12 & 3 & 15 & 45 & 15 B & 6 & 10 & 8 & 11 & 88 & 66 C & 3 & 9 & 4 & 7 & 28 & 21 D & 12 & 15 & 19 & 20 & 380 & 240 E & 8 & 25 & 13 & 18 & 234 & 144 T o t a l & 775 & 486 \end{matrix}$

$P_{01} = \frac{\sum P_{1} Q_{1}}{\sum P_{0} Q_{1}} \times 100 = \frac{775}{486} \times 100 = 159.46$

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Calculate the weighted aggregative index number for the following considering the current period consumption as a standard: P0Q0P1Q1A112315B610811C3947D12151920E8251318 All the prices are in dollars.

The correct option is B 159.46 P0Q0P1Q1P1Q1P0Q1A1123154515B6108118866C39472821D12151920380240E8251318234144Total775486 P01=∑P1Q1∑P0Q1×100=775486×100=159.46