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Statistics, option 3

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Section I. Tasks to perform control work on the theory of statistics
Problem 1. There are sample data (sample of a 5% mechanical) to 26 companies for the year:
The average number of Company Number
workers people. Experience
work, years of average annual cost of OPF, mln. The value of output, mln. Rub. Unit cost, rub. Development of production per worker, ths. Rub.
3 300 13 870 970 870 7.0
4 220 16 1210 630 1210 4.4
5 196 8 1150 980 1150 6.2
6 100 7 925 450 925 8.0
7 276 6 1630 550 1630 7.8
8 331 14 1390 480 1000 6.9
9 192 5 730 760 730 10.4 .......
To solve the problem to take the 20 enterprises in the following table:
Option number of enterprises Jobs (bottom group)
3-22 3 The average annual cost of OPF
According to initial data of your options:
1) Build a random number distribution, creating 5 groups with equal intervals. Construct the distribution series graphics: histogram, polygon, cumulates.
2) For each group and the population of enterprises determine the number of enterprises and their share in the total number of enterprises (structure). The results of calculations in the present table.
3) According to the group, calculate the characteristics of a number of distribution companies: the average level of the series (the formula of average arifemticheskoy conventional method and the method of moments); the scope of variation; the average linear deviation; dispersion (in formulas conventional method and moments); standard deviation; coefficient of variation; fashion and the median for a discrete interval and number of distributions. Analyze the results.
4) With a probability of 0.964 to determine the sampling error of average size per company and the border, which will be in general average.
With a probability of 0.997, determine the sampling error for the proportion of enterprises in the last fifth group of interval number and distribution of the border, which will be the general share. Draw conclusions.

Objective 2. There are reports of average per capita income in Russia in 2010, RUB:
Year Per capita income per capita, rub. / Person.
Options
1 2 3 4 5 6 7
2006 10196 10000 9928 11000 10214 8628 11180
2007 12602.7 12315 11825 12926 12608 10734 13024
2008 14940.6 14826 14016 15108 14980 13886 15238
2009 16838.3 16739 16134 17034 17038 15435 17786
2010 18552.6 18565 17296 18932 18793 17128 20020
To analyze the dynamics of the studied index, determine:
1) a) in accordance with the classification - the form of a number of speakers;
b) the average number;
c) The chain and benchmarks for per capita income: absolute increases, the rate (rates) of growth and change;
g) the absolute value of a 1% increment.
2) Average of absolute growth, rates (coefficients) of growth and change.
The calculation results present in table form (table layout):
Table Layout
Analytical indicators per capita income of the Russian population
Year Average per capita income growth in absolute, rubles / person. Growth rate% Growth rate,% Absolute value of 1% growth, rub. / Person.
rub. / person. basic chain chain chain base base
A 1 2 3 4 5 6 7 9
Make an analysis of the results.
3) a) to identify the linear form of the trend of per capita income of the population;
b) plot the dynamics of the average per capita income over the study period actual and theoretical data;
c) to predict the per capita income in 2013, using the methods:
1) the average absolute growth;
2) the average growth of the theme;
3) analytical alignment.
Make analysis of the results

Problem 3. In 2009, the average annual population of the city amounted to 1018.3 thousand. People, in 2010 - 1025 8 th. People, in 2011 - 1030 6 th. People.
1) Identify a% basis relative magnitude dynamics (up to 0.1%):
a) and 102.8 to 101.2; c) 100.7 and 101.2 c) 101.8 and 102.3.

Additional information

Objective 4. The dispersion characteristic is (up to 0.1), provided: the average value of the sign - 22 thousand. Rub., The coefficient of variation - 26%:
a) 44.5 c) 12.8
a) 32.7 d) 37,2

Problem 5. Gasoline prices in the 4th quarter of this year compared with the 4th quarter of the previous year increased by 1 liter from 23 to 27 rubles. What is the quarterly rate of growth in gasoline prices (in%):
a) 8.3 c) 2.9
a) 4,1 d) 10,4
Section II. Tasks to perform control work on socio-economic statistics.

Problem 6. There is evidence of the enterprise (Tables 1 and 2). To analyze its activity. Determine for the reporting and the reference period:
1) The average number of workers, personnel movement indicators (coefficients of labor turnover in receiving, dismissal, job turnover rate).
2) the hourly, daily and annual productivity.
3) The relationship between hourly, daily and annual productivity.
4) The duration of the working day and the year.
5) Absolute and relative influence of these factors on the overall change in the value of output:
a) The average number of workers;
b) the average length of the working day;
c) the average length of the working period;
d) hourly productivity.
6) The average annual value of fixed assets ......

Task 7. The following information for the year in current prices, trln. (Table 3).
Define:
1) Gross domestic product (GDP):
a) the production method;
b) the distribution method;
c) by the end use.
2) Select the balancing item of each account. To make the analysis.
a) gross national income (GNI);
b) Gross national disposable income (GNDI);
c) national saving (NA).
3) Build a consolidated current accounts for the domestic economy as a whole: production, generation of income, allocation of primary income, secondary distribution of income, Use of disposable income.
Table 3 - Baseline data for the year in current prices, trln.
Performance Option
1 2 3 4 5 6 7
1. Output of goods and services in the basic prices 2805.4 2543.2 2733.6 2800.4 2233.3 2608.2 2435.5
2. Intermediate consumption 1312.4 1170.2 1205.6 1341.5 1215.8 1312.6 1475.9
3. Taxes on production and imports 245.4 212.6 221.4 308.2 284.1 291.8 298.8
including products and imports 196.4 185.3 200.5 219.8 202.3 253.6 261.0
4. Subsidies on production and imports (-) 59.6 54.5 63.8 72.3 65.1 72.4 78.9
including on products and imports (-) 59.4 50.8 62.5 71.4 63.1 70.3 77.2 ................... ...

Problem 8. Productivity companies increased 3-fold, while labor productivity growth has been caused by:
a) an increase in the capital-2 times and 1.5 times the return on assets;
b) an increase in the capital-2% return on assets and 1.5 times;
c) increasing the capital-20% and 15% return on assets;

Task 9. The general index of the cost of production (in%) ... provided that:
Type of product The total cost of production Change in the cost of production in the reporting period compared with baseline,%
Reference period Reporting period
Footwear husband. 230 240 6
Shoes women. 290 300 -2
a) 103.4; b) 101,4; c) 104.3; d) 98,5.

Problem 10. Average payroll number of employees in September ... people. (Up to 1 person.) Provided:
Headcount as of September 1 Recruited Dismissed
September 5 On September 19 September 8
24 people. 5 people. 2 persons. 4 people
a) 26; b) 28; c) 25; d) 27.

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