# Legal Statistics (option 2)

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## Product description

Problem 1. There are sample data (sample of a 5% mechanical) and 26 units of the public service during the reporting year:
The average number of Company Number
employees, people. Experience
work, years of average annual cost of OPF, mln. Cost of services produced, mln. Rub. Cost of services rubles. labor productivity per employee, thousand rubles.
2 315 2 1500 830 1500 4.8
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
10 203 24 975 1150 974 9.6
11 210 4 890 950 905 10.0
12 156 5 905 940 430 11.3
13 184 15 430 850 830 12.1
14 126 20 830 740 920 8.8
15 118 18 920 610 1100 9.7
16 230 10 1100 630 1000 10.2
17 242 19 970 990 770 12.4
18 261 25 700 850 990 12.0
19 160 22 810 960 860 10.8
20 350 12 780 680 700 6.4
21 175 31 1250 675 810 4.9
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 together determine the number of units of units and their share in the total number of units (structure). The results of calculations in the present table.
3) According to the group, calculate the characteristics of a number of distribution units: 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 average value per unit and the border, which will be in general average.
With a probability of 0.997, determine the sampling error for the proportion of units that are in fifth last interval group 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.
2006 10000
2007 12315
2008 14826
2009 16739
2010 18565
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.

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

Problem 6. There is evidence of work unit (name1 and 2). To analyze its activity. Determine for the reporting and the reference period:
1) The average number of employees, 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 employees;
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.
7) Performance of fixed assets movement (inflow and outflow rates).
8) Performance of fixed assets (return on assets, the capital ratio, capital-).
9) The absolute and relative contribution to the overall change in the value of services produced:
a) the average annual value of fixed assets;
b) their desired use, i.e. return on assets.
10) Indicators of working capital turnover (turnover ratios and consolidation, the number of revolutions, the average duration of one revolution)
11) Total change in working capital during the year compared with the base due to the influence:
a) cost of sales;
b) accelerate the turnover.
12) Cost of services.

Task 7. Productivity businesses increased 3-fold, while labor productivity growth has been caused by:
a) an increase in the capital-2 times and 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;

Problem 8. The total cost of production index (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.

Task 9. 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.

Task 10 (theoretical question). Expand the content of the question.
How do you understand the organization of the account of administrative violations? Formulate a statistical study of the possibility of offender.
References

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