Calculate the weighted aggregative index number for the following considering the current period consumption as a standard- P 0 Q 0 P 1 Q 1 H 0-5 20 2-5 25 I 10-5 10 7 11 J 3-5 8 4 12 K 7 25 14 30 L 15 13 22 18 A- 155-11B- 152-87C- 154-38D- 153-71

The correct option is C 154.38 Look at the table below: [ amp;P_0 amp;Q_0 amp; P_1 amp; Q_1 amp;P_1Q_1 amp; P_0 Q_1; ...

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Standard XI

Statistics

Weighted Aggregative Price Index

Calculate the...

Question

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

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

All the prices are in dollars.

154.38

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153.71

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152.87

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155.11

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Solution

The correct option is A
154.38

Look at the table below:

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} & P_{1} Q_{1} & P_{0} Q_{1} H & 0.5 & 20 & 2.5 & 25 & 62.5 & 12.5 I & 10.5 & 10 & 7 & 11 & 77 & 115.5 J & 3.5 & 8 & 4 & 12 & 48 & 42 K & 7 & 25 & 14 & 30 & 420 & 210 L & 15 & 13 & 22 & 18 & 396 & 270 T o t a l & 1003.5 & 650 \end{matrix}$

$P_{01} = \frac{\sum P_{1} Q_{1}}{\sum P_{0} Q_{1}} \times 100 = \frac{1003.5}{650} * 100 = 154.38$

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Similar questions

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

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

All prices are in dollars.

The weighted aggregative index number for the following table is given as 153.61 considering Laspeyres method. Find the approximate value of k.

$\begin{matrix} P_{0} & Q_{0} & P_{1} & Q_{1} H & 0.5 & 20 & 2.5 & 25 I & 10.5 & 10 & 7 & 11 J & 3.5 & 8 & 4 & 12 K & 7 & 25 & 14 & 30 L & 15 & 13 & 22 & 18 \end{matrix}$

Q. Following are the figures of marks obtained by 40 students. You ae required to arrange them in ascending and in descending order.

15	18	16	14	10	6	5	3	8	7
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Calculate the cost of living index number from the following data :

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15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10

Calculate the weighted aggregative index number for the following considering the current period consumption as a standard: P0Q0P1Q1H0.5202.525I10.510711J3.58412K7251430L15132218 All the prices are in dollars.

The correct option is A 154.38 Look at the table below: P0Q0P1Q1P1Q1P0Q1H0.5202.52562.512.5I10.51071177115.5J3.584124842K7251430420210L15132218396270Total1003.5650 P01=∑P1Q1∑P0Q1×100=1003.5650∗100=154.38

15	18	16	14	10	6	5	3	8	7
22	18	14	19	17	8	6	4	10	3
12	16	15	13	11	10	18	22	14	19
11	18	22	14	25	21	17	8	9	10