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# Tasks Statistics

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# Description

Task №1

Subject: Statistical summary

The following data on the value of the assets and profits of 30 banks:

The cost of the bank number of the bank property, mln. Rub. IV quarter of the reporting year, the bank's profit, mln. Rub.

IV quarter of the previous year Fiscal year

I quarter. II quarter. III quarter. IV quarter.

1976 27.6 29.4 28.2 34.4 36.1

2984 20.4 20.3 19.6 18.4 18.8

3959 18.1 17.6 19.7 20.1 18.6

April 1050 18.4 18.2 19.6 24.0 23.7

5932 17.3 19.8 20.6 22.7 23.8

June 1007 20.3 17.6 22.1 21.4 28.0

7776 10.2 11.6 12.4 11.8 13.2

8795 10.8 10.8 11.6 11.2 12.0

9821 11.6 15.3 13.2 15.5 17.2

10 806 12.7 14.6 13.4 17.1 15.3

11 786 11.5 13.7 13.4 12.8 13.1

12 978 19.3 21.3 18.4 20.1 24

13 800 13.3 15.4 16.3 17.4 18.7

14 950 20.0 17.0 18.4 17.8 19.5

15 920 16.9 16.4 15.8 17.0 17.2

16 794 12.6 11.8 13.1 13.0 12.3

17 1015 22.4 20.7 22.8 23.6 25

18 750 10.4 11.0 10.8 11.8 12.0

19 847 13.6 15.8 17.1 14.2 18.4

20 901 15.1 14.3 17.6 16.2 15.9

21 785 14.1 13.9 14.0 13.8 14.2

22 1030 17.6 17.9 13.0 15.0 19.0

23 1025 18.0 17.9 17.6 18.0 19.4

24 948 17.4 16.2 16.9 17.0 18.1

25 770 11.6 11.3 13.2 12.4 11.5

26 782 11.1 11.0 12.0 12.2 12.0

27 859 12.6 15.8 17.1 14.2 18.4

28 804 13.8 14.7 18.5 17.1 16.5

29 924 15.1 14.8 17.3 16.5 19.4

30 765 10.4 11.8 14.6 12.0 11.1

Create interval variation series of banks in terms of the distribution of profits by creating five groups.

According to this number to determine:

- The average profit margin on one bank;

- Fashion and median plot a graph and show the fashion and the median on the graph;

- The average linear deviation and coefficient of variation.

Task №2

According to the reference works №1 calculate:

- The average profit margin for the general population with a probability of 0.954, taking into account that 300 banks were examined 30;

- The share of banks in the population with income of more than 37 million. Rubles, with a probability of 0.997.

- Establish the fact of the connection between the value of assets and profits by an average of one bank. Build field correlation and regression line.

- Linear correlation coefficient.

- Coefficient of elasticity

- Indicators of the dynamics of a number of profit;

- The average level of profit for the year;

- The average growth rate;

- Equalize the number of speakers in a straight line;

- To determine the predictive value of profits for the I quarter of the following year for the reporting year.

Initial data for the calculation is the profit of the bank, the number of which corresponds to 1.

# Additional information

Task №3

Subject: Statistical analysis of performance of the company

Table 1 shows the values \u200b\u200bof parameters of the company.

Table 1 - Basic technical and economic performance of the enterprises (statistics conditional)

Indicators Values

Plan Actual

1. Commodity products .. thousand rubles. 12500 12800

2. Change in marketable products, ths. Rub.

stock -500 -580

3. The total cost of commodity products, ths. Rub.

including 10000 10200

a) material costs, ths. rub. 7000 7150

b) salary, ths. rub. 1750 1680

c) depreciation, ths. rub. 1180 1300

4. The average annual value of fixed assets, ths. Rub. 10700 11210

5. The share of workers in total 0.8 0.82

6. Worked for the year chel.-dn. 37230 38018

7. Average number of workers people. 160162

8. worked per year, man-hours, including: 302,016 295,488

overtime, thousand. man-hours - 1.5

According to the company to determine:

- To implement, clean and value-added products.

- Percentage of the plan for each of these totals. Analyze the results.

- Average number of workers and total industrial production personnel.

- Indicators of the level of productivity:

a) Average annual output per worker of industrial personnel;

b) the annual average, the average daily and hourly output per worker.

- The total change of commodity products, as well as its variation due to labor productivity and the number of industrial personnel in comparison to the planned job.

- The average number of days of operation per worker.

- The average number of hours per worker.

- The average length of the working day (full and a portion).

- Indicators of working time: the utilization rate of working days per worker; the utilization rate of the working day; comprehensive (integral) utilization of working time. Show the relationship of calculated parameters, to draw conclusions.

-on the basis of data on the average, the average daily and hourly output per worker, as well as data on the average number of days of work per worker per year, and the average length of the working day, to determine the relationship of average output indicators (labor productivity), in its version of the plan, and actually. Analyze the results using the index factor analysis method.

Task №4

Subject: Calculation of absolute and relative performance variations.

1. In the study of consumer demand in the shoe department shopping complex "Moscow", the following data on the distribution of sales of men's summer shoes size:

Size 38 39 40 41 42 43 44 Total

The number of pairs sold 4 4 8 13 19 8 April 60

Spend a frequency distribution analysis and draw conclusions. For this:

a) replace the group frequencies relative frequency;

b) for each group determine the cumulative relative frequency;

c) build cumulates distribution.

4. According to the results of winter examination session of the course the student will receive the following distribution of scores on points:

Credit assessment of students' knowledge 2 3 4 5 Total

The number of scores obtained by students 6 75 120 99 300

Define:

a) The average score of students' knowledge assessment;

b) the modal GPA and the median score;

c) make conclusions about the nature of the distribution.

5. According to the State Statistics Committee of the Russian Federation the number of employed in the economy by age in 2000 was distributed as follows:

Age

Prior years

20 20

24 25

29 30

34 35

39 40

44 45

49 50

55- 54

59 60

72 Total

% Of total employment in the economy 1.5 9.2 11.5 11.6 15.3 17.0 15.4 10.7 3.6 4.2 100

Determine the median, first and third quartiles, the first and tenth deciles. Explain their contents.