2015-08-21
412
1. Specify the objects of the following observations:
а) observation of commercial banks as touched to their investments;
b) observation of the farms in order to assess the level of provision of appliances.
2. Point out a population unit and the unit of observation in the following examples:
а) monitoring of sales of compensation certificates on auctions;
b) the study of the opinions of users of paid dental services in public and private hospitals.
3. Formulate the main issues of the program of observations:
а) of the tourism market;
b) of views of consumers on the promotional products.
4. Specify the objective and subjective time in these observations:
а) the record of number of students enrolled in college at the beginning of the school year;
b) the account of the balances payables of banks at the end of each year.
5. Indicate the type and the method of these observations:
а) experts' estimation of the quality of enacted housing;
b) summarization of the results of the privatization of objects.
6. Indicate the type of groupings:
а) distribution of married couples (of bride and of groom) by the age;
b) distribution of industrial enterprises by the forms ownership;
c) grouping of firms by turnover duration of current assets with the defining of medium level of profitability of capital in each group.
7. The results of testing of 16 attendants of oriental languages courses were the following (100-point system):
Make rows of distribution of students by the number of points. Select three groups with equal intervals.
8. Model the layouts of statistical tables on the basis of which will be carried out the analysis:
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а) volumes of production of consumer goods for the regions;
b) distribution of the region's population by age and sex;
c) dependence of the yield of sugar beet upon the amount of used fertilizers.
9. Classify these statistical data on the basis of characteristics of time and analytical function:
- electric power production per capita per year, kVt.-h;
- enactment of the total area of residential buildings per year, million m2;
- the share of investment in environmental protection in the total volume of capital investments;
- length of electrified railway lines at the end of the year, thousands of miles;
- degree of use of production capacities of the plant,%;
- the number of registered marriages per year per 1000 people of population;
- the ratio of fixed and current assets of the company;
- Consumer Price Index for the first quarter,%.
10. The park of machine tools of production association is characterized by the following data:
Availability of the machines at the beginning of the year 120
Received new machines:
for the physical replacement of decommissioned machines 16
for expansion of production capacity 24
Identify: the number of machines at the end of the year and the share of new machines among them, the degree of the expansion of production capacity per year.
11. According to the data of the firm export sales are:
| Рroduction | Implemented in export, t | The share of sold export goods, % |
| А | ||
| В |
Determine the average percentage of products sold for export.
Explain the choice of the form of mean.
12. For the given data determine the average percentage of fulfillment of contractual obligations by the suppliers of components:
| Рroduction | Fulfilled obligations in the amount, mln. UAH | Fulfillment of contractual obligations, % |
| А | 31,2 | 97,5 |
| В | 17,1 | 95,0 |
| Total | 48,3 | Х |
Explain the choice of the form of mean.
13. In the first quarter the company sold products on 21.6 billion dollars. Balances of current assets totaled, mln.: January 1 - 1400, on February 1 - 1550; March 1 - 1270, on April 1 - 1600. Determine the average balance of working capital in the first quarter.
14. The useful life of intangible assets of the firm, protected by patents, licenses, etc., at the end of the year was:
| Term of use, years | Total | ||||||
| In % to the total amount of intangible assets | 2,6 | 10,2 | 39,2 | 40,0 | 6,8 | 1,2 |
Determine the row of cumulative particles, median and mode of useful life of the intangible assets of the firm.
15. Credit rates of commercial banks under short-term borrowings were as follows:
| Credit rate, % | Value of the loans, mln. UAH | |
| І quarter | ІІ quarter | |
| Up to 10 | ||
| 10 — 20 | ||
| 20 — 30 | ||
| 30 and more | ||
| Total |
Define the average credit rate and the average linear deviation for each quarter. How have changed average credit rate and the variation of credit rate?
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16. Profitability of assets of commercial banks at the beginning of the year averaged 15% with the dispersion of 36, at the end of the year it was 10% with the dispersion of 25. Assess the relative variation of assets profitability at the beginning and end of the year, make a conclusion about the direction of change in average and variation.
17. The share of highly liquid assets in the amount of current assets is 20%. Define the dispersion of share of highly liquid assets.
18. According to the data of survey the costs of time for processing the details on the various planers were, min.:
on І shift — 26, 24, 23, 28, 25, 24;
on ІІ shift — 28, 30, 29, 33.
Identify the group, intergroup and total dispersions of expenditure of time on the processing of details, show the relationship between dispersions.
19. Name the factor and the effective characteristics in these pairs:
а) tax rate, profit margins;
b) total family income, savings.
20. The connection between interest rates on the interbank loans (%) and the term of the loans (days) is described by the regression equation Y = 18 + 0,5x. Explain the meaning of the parameters of the equation. Determine the interest rate on 30-day credit.
21. Connection between the capacity of coal seam (cm) and the coal extraction per worker per shift (t) is described by the regression equation:
Y = - 3,6 + 0,15 х. Residual dispersion of coal is 1,2, total dispersion – 5,4. Determine the coefficient of determination, explain its meaning. Check materiality of connection with the probability of 0,95.
22. Indicate which of the rows are dynamic: momentum or interval?
1. Foreign exchange reserves of the banking system at the beginning of each year.
2. Accounts receivable of the firm on April 1, 2007.
3. Exports of goods for each quarter in 2007.
23. Remains of copper at the stock of electrical equipment were, kg: 1 April - 64, May 1 - 66, June 1 - 60, July 1 - 62. Determine the average monthly balance of copper in the second quarter.
24. Investments in the economy of the region were: in 2005 - 200 million UAH, in 2006 - 238 million UAH. Determine the absolute increase and the rate of investment growth, show the relationship between the indicators.
25. Over 6 months the share capital of the company increased by 20% and on July 1 it totaled 360 thousand UAH. Determine the absolute increase of share capital.
26. Capital of the firm at the end of 2004 was 40 million UAH. During 2005 this indicator increased by 2%, during 2006 - by 5%. Determine the average absolute growth of the capital of the firm.
27. During 2005 - 2006 investments in the sector grew by 20%. The absolute value of 1% of growth was 12 thousand UAH. Using the relationship between dynamics' characteristics, identify the investments in 2006.
28. Over five years, coal production in the region increased by 45%. The absolute value of 1% if growth was 2.4 million tons. Determine the average absolute growth in coal production during this period.
29. In 2004, the region's poultry sold 200 millions of eggs. In subsequent years, sales were annually increasing: absolute groth rates were: in 2005 - 42 and in 2006 - 46 millions of eggs. Determine the average annual growth rate for the sale of eggs during 2005 - 2006.
30. Tariffs for communication services for the first half increased by 5% and for the second - by 6%. How much did the interest rates rose during the year?
31. During 2005-2006, the money supply increased by 1,21 times. Determine the average annual growth rate of money supply.
32. During 2005 credit and investment portfolio of the bank increased by 20% and during 2006 - by 1,5 times. Determine: a) the rate of growth of credit and investment portfolio over two years, and b) the coefficient of acceleration of dynamics.
33. Imports of fuel in the region in recent years, bn. UAH:
| Import | ||
| In current prices | ||
| In prices of 2010 |
Determine the indexes of prices and volume of imports of fuel. Show the relationship between indexes.
34. We have data on prices and sales volumes of securities on the Stock Exchange:
| Type of securities | Price per unit, UAH | Sold, thsnd of units | ||
| Stocks | ||||
| Bonds |
Determine the aggregate indexes of prices and volumes of sales of securities.
Draw conclusions
35. For given data identify composite index of stock prices and the absolute increase (decrease) in sales due to price dynamics:
| Issuer | Sales' volume, mln UAH | Рrice index | |
| September | October | ||
| А | 1,2 | ||
| В | 0,9 | ||
| С | 1,4 |
