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7 tasks on statistics

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Problem number 1
Production, distribution and use of the national income in the Russian Federation (at current prices, bln. Rub.)
1. Produced by economic sectors:
- Industry 56756.6
- Agriculture 11522.7
- Construction of 10,769.9
- Transport, communications, trade, MTS, harvesting, etc.. Industry 52430.8
2. Primary distribution:
- The product (wages) 47332.8
- Surplus product 84147.2
3. Used for:
- The personal consumption of the population 69453.4
- Material costs in establishments serving the public, scientific institutions, management 20415.1
- The increase of fixed assets -11,327
- Increase in inventories and reserves 30,750.7
4. Losses and foreign trade balance 22187.8
Determine the volume of OD production method. Draw conclusions.

Problem number 2
Average annual number of population in the area in 2000 amounted to 18 mln. People., Of which 25 -% of women aged 15 - 49 years. During the year were born in the 25,000, 12,000 people died, including children under 1 year - 850 people came to the area for permanent residence 16,000 people, left for permanent residence outside the region of 10,000 people.
Define:
1. The infant mortality rate (children under 1 year).
2. The coefficients of fertility, mortality and natural growth.
3. mechanical growth factor.

Problem number 3
Determine the average length of employment of citizens, the level of uptake of the population in employment services, as well as the burden of unemployed people per vacancy, if you know the following information:
1. The total duration of employment of citizens for the year - 259,000 (person / day).
2. The total number of employed people during the year - 58,000 people.
3. The number of people apply for employment during the year - 102,000 people.
4. Average number of working-age population - 800,000 people.
5. The number of vacancies at the end of the period - 70,000.

Problem number 4
The following conditional data on the dependence of trade turnover at current prices from changes in per capita income and the price of the goods «S» (for the period from January 1996 consumer spending in December 2000):
where: • - income;
• - the price of goods.
Based on the above data:
1. Build the demand outlook for March and October 2001 if:
a) average per capita income reached in March 2001, 4,000 rubles., and in October 2001 - 4,500 rubles .;
b) the average price per item «S» will be in March 2001, 500 rubles. per unit, and in October 2001 - 650 rubles. per unit;
2. Take the sum of the coefficients of elasticity theory, trade turnover at current prices and per capita income of the average unit price.
Analyze the results obtained.

Additional information

Problem number 5
There are data on the implementation of a potato in three markets of the city in 2006:
Markets day sales volume (kg) Price (rub. / Kg)
August December August December
Central 5.50 150.0 180.0 8.0
Cheryomushki 130.0 100.0 4.0 7.50
Vyhino 140.0 150.0 2.0 5.0
Determine: the average price of potatoes in December consumer spending compared to August 2000 .; proceeds from the sale; Structure of sales; absolute change in average prices due to a number of factors; the consumer price index; elasticity of sales; the amount of economic benefit due to changes in prices in December 2000.

Problem number 6
The available data for the three companies for the two periods:
Number Enterprise Reference period Reporting period
The average cost of fixed production assets,
thous. rub. The average number of personnel operating activities, people. The average cost of fixed production assets,
thous. rub. The average number of personnel operating activities, people.
A 1 2 3 4
1 450 150 608 152
2 680 170 770 110
3810 90 736 92
Total:
Determine for each enterprise and enterprise group as a whole, presenting calculations in the table:
1. Levels of intensity of labor in each period, and their dynamics.
2. Indices of capital-labor (individual and common variable, constant composition, the effect of the index of structural change), showing their relationship.
3. The absolute change in the average volume of fixed productive assets of the group companies as a whole, including due to the dynamics of the average number of staff operating activities and by changing the average intensity of labor.
4. Absolute dynamics average intensity of labor in the group companies - in general, including as a result of changes in intensity of labor at each plant and changes in the structure of personnel operating activities (redeployment between individual enterprises).
Draw conclusions based on the results.

Objective number 7
The following data on the company for the two time periods, in thousands. Rub .:
Indices Districts
I II
A February 1
Revenues from sales 1560 1800
The average balance of current assets 520 450
Define:
1. The turnover ratios of current assets for each quarter (speed and duration of a turn) and their dynamics;
2. The dynamics of the absolute amount of revenue from product sales - in total, including due to changes in the average balance of working capital;
3. The amount of working capital released from circulation as a result of acceleration of their turnover.
Analyze the results obtained.

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