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# Targets for economic statistics

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# Description

23 pages + Excel

Subject 2.Variatsionnye series

Task 1

Create a crossword puzzle on the statistical variation series of 20 words

Task 2

There are data on the distribution of US households largest annual disposable income in 2007

Annual disposable income, thous. USD. The number of households,% of total

5 2.7

5-10 3.9

10-15 4.4

15-25 9.2

25-35 9.0

35-45 8.4

45-55 7.8

55-65 6.9

65-75 6.0

Over 75 41.7

Total 100

Define:

1. the average annual disposable income on the basis of the arithmetic mean, median, and mode;

2. Graphic mode, median, quartiles and deciles

3. Performance variations

4. Indicators of income differentiation: the decile coefficient and the Gini coefficient and the Herfindahl.

5. skewness Pearson.

To draw conclusions about the level of revenue and differentiation.

Theme 3. The rule of addition dispersions

There are data on the distribution of US households by income for 2006 .:

Annual income, th.. Households Households outside the metropolises of megacities

Thousands. In households% of total Thousands. In households% of total

Up to 5

5 - 10

10 - 30

30 - 50

50 - 75

75 - 100

100 or more 2,828

4,898

22.606

18.449

16.527

10,446

14,320 3.1

5.4

25.1

20.5

18.4

11.6

15.9 0.706

1,659

6,820

5,089

3,788

1,785

1,356 3.3

7.8

32.2

24.0

17.9

8.4

6.4

Total 90.074 21.203 100 100

Estimate:

1) intra-mean and variance;

2) the average of the intra dispersions;

3) intergroup dispersion;

4) the total variance;

5) the empirical correlation ratio;

6) Check the rule of addition of variances.

# Additional information

Theme 4. Selective observation

Test 1.

1. In a commercial bank in the manner proper random sampling without replacement sampling examined 5% of loan agreements, bringing the set:

Loan amount (mln. Rubles.) 2 2-6 6-10 10-20 more than 20

The number of contracts 85,120,110 65 20

1. Determine the probability 0.959 maximum value for the average loan size of the bank as a whole (mln. Rub.):

A) 7,300; B) 7.882; B) 7.393; D) otherwise D) 6,094.

2. Determine the probability of 0.997 share of borrowers who received a loan of $ 20 mln. Rubles., For all the bank:

A) 8.2%; B) 8.3%; B) 5.0% D), 6.1%; D) 6.2%.

Test 2.

Cellular operator conducted 100 observations by proper random sampling, which resulted in the average duration of set one phone call 3 minutes, with an average deviation of 1.5 minutes.

Determine the probability of 0.997, to what extent is the average length of a call during the entire population (min.)

A) from 2.96 to 3.05 m b) from 2.96 to 3.05 min B) of 2.63 to 3.37 T min) of 2.85 to 3.15 D min) of 2.55 to 3.45 m

Test 3.

From Party tulips imported from Holland, by proper random sampling without replacement sampling selected 300 products, 16 of which proved to be defective. The sample size is 10% of the total finished product. With a probability of 0.954 maximum percentage of defects in the entire party is:

A) 1.5%; B) 3.5%; B) 2.8%; F) 1.2%; D) other

Test 4.

In the election for mayor will bring together about 1 million. Voters. Candidate R. selected, vote for him if more than 50% of voters. On the eve of elections, conducted a survey of randomly selected 1,000 voters: 550 of them said they would vote for R. Determine the probability 0.954, what is the minimum percentage of voters ready to vote for RA in the general population?

A) 55.0%; B) 56.6%; B) another D) 54.4%; D) 51.9%.

Setting the theme "A statistical study of interrelations"

1. The travel agency offers a place in the hotels of the seaside resort. Managers of the company are interested in how increases the attractiveness of the hotel depending on the distance to the beach. For this purpose, the city has 10 hotels clarified the average occupancy rates and distance from the beach.

The distance, km 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0

Occupancy,% 92 96 90 89 90 83 85 76 72 75

1) Plot the data and determine the source of his dependence.

2) Calculate the sample linear correlation coefficient of Pearson.

3) Check the value of a = 0.05.

4) Build a regression equation and give the interpretation of the results.

5) Determine the closeness of the relationship with the help of famous figures rank closeness of the connection.

6) Define: what will be the occupancy of the hotel when removing it from the sea 650 meters.

Setting the theme "Methods of analysis of time series"

Task №7 Using the relationship of the dynamics, determine levels of a number of missing and benchmarks in the table dynamics, all known to you oboschat indicators and draw conclusions .:

Production of electric power

Basic indicators of the dynamics of the absolute value of 1% growth

Year million.

kWh absolute. growth, growth rate,

% Growth rate,

%

1988 - - -

1989 800 59

2000 15.6

2001 123.9

2002 31.7

2003 298

2004 149.9

2005 55.2

2006 461

2007 67.2