# 7 задач по статистике, вариант 5

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Objective 1
Determine the probability of the population as of 1 January 2018, if it is known that the population of the area as of 1 January 2009 amounted to 85 thousand. Pers. And average rates for 2006-2008 were as follows: birth - 18 ‰, mortality rate - 11,5 ‰ , mechanical growth - 1,5 ‰.

In the following data to calculate the index of capital productivity variable composition and changes in production (in absolute terms) due to: 1) the dynamics of the average return on assets and 2) the volume of fixed assets.
The volume number of the enterprise products, mln. Rub. The average annual value of fixed assets, mln. Rub.
Reference period Reference period Reporting period The reporting period
1 4.0 3.0 2.0 1.0
2 3.6 2.0 2.0 1.1
Total 7.6 5.0 4.0 2.1

Objective 3
The following production data across the enterprise:
Product Type Output, thous. Pcs. The selling price per unit, ths. Rub.
Under the plan actually
A December 10 1.0
B 20 20 2.0
In 30 28 2.4
Determine the total percentage of the plan for the production of products and the same with the range, comment on the answers.

The following planned and actual data for the year:
Performance Under the plan actually
The volume of production at constant prices, ths. Rub. 56880 76000
The average number of employees of industrial personnel 610 630
Including 600 580 workers
The number of used person-days of work 165 600 16700
Spent working manhours 1291680 1286200
Define:
1) planned and actual performance average hourly, average daily and average annual output per worker, the implementation plan for these indicators;
2) Relative impact of changes in average hourly output, the average length of the working day, the average number of days of work per worker and the share of workers in total employment to change in the average annual output per worker compared to the plan.
Analyze indexes calculated.

Objective 5
Food consumption in the two periods characterized by the following conditional data:
Food Consumption in the prices of actual implementation, mln. Rub. The price index,%
Last year Fiscal year
Meat 60 68,150
Sugar 13 20 100
Butter 27 27 98
Calculate the following codes:
- Total consumption of products in the prices of actual implementation;
- The general price index for food products;
- The total volume index of consumed products.
The sum of the amount of economic benefit of the population, due to the change in food prices.
Show the relationship of indices.

The available data on the use of gross disposable income (at current prices, bln. Rub.):
- Gross national disposable income - 770.6
- Final consumption expenditure, including:
- Households - 311.1
- Public institutions - 190.3
- Non-profit institutions serving households - 26.5.
Determine the gross saving of the economy and build through the use of national disposable income.

Target 7
Of 100,000 households insure their property in the amount of 22,000 45 billion. Rubles. The amount of contributions to insured property amounted to 44 billion. Rubles. The number of insurance cases, which led to the death of the insured property, - 40 damaged property in 43 families. The sum insured damaged property - 35 mln. Rubles. The amount of insurance compensation - 32 mln. Rubles.
Define:
1) The average sum insured of the insured property;
2) The average sum insured damaged property;
3) The average size of payment of insurance compensation;
4) The average size of the insurance premium;
5) The coverage of the insurance field;
6) The frequency of the insurance field;
7) The proportion of damaged property;
8) Coefficient of payments of insurance compensation;
9) The level of contributions towards the sum insured;
10) The loss ratio of the sum insured.
Analyse the performance.