Statistics (4 tasks)

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Uploaded: 25.04.2013
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Objective 1
With a view to reforming housing and communal services carried out a survey of incomes of the population according to the State Tax Inspectorate of the city. The survey obtained the following distribution of population by average monthly income per person:
The average monthly income per capita, thous. Rub. Population, thous. People.
2.3 to 1.0
1.0-2.0 4.2
2.0-3.0 5.8
3.0-4.0 6.6
4.0-5.0 7.0
5.0-6.0 7.4
6.0-7.0 6.1
7.0-8.0 5.0
8.0-9.0 4.9
9.0-10.0 4.2
10 and 3.5
Total: 57.0
According to the survey results should:
1) calculate the mean, the modal and the median income;
2) using the variation coefficient to assess the homogeneity aggregate and to conclude the reliability of the mean;
3) using the decile coefficient of differentiation to assess the degree of differentiation of the population by income.
4) To formulate conclusions.

Task 4
Assuming that the data of the problem №3 obtained by 10% of a random sample of repetitions, it is necessary to determine:
1) with probability 0.997 confidence interval of the average monthly wage of employees throughout the region;
2) with a probability of 0.954 share of employment in the region with a monthly salary of more than 2.0 thousand. Rub.
The average monthly salary, ths. Rub. The number of employed, ths. People.
13.2 to 1.2
1.2-1.6 14.3
1.6-2.0 15.4
2.0-2.4 19.0
2.4 -2.8 15.5
2.8-3.2 12.5
More than 3.2 12.2

Target 7
The marketing department has received from branches of the concern the following:
Branches Reference period Reporting period
sales of products, items. the unit price of the product,
thous. rub. the total value of goods sold, thousand. rub. the unit price of the product,
thous. rub.
1300 0.80 304 0.95
2 280 1.20 357 1.25
Determine the change in the average price of products on the concern as a whole in the reporting period compared with baseline.
What kinds of medium used?

Task 21
In the Russian Federation there are data on the dynamics of investment (in comparable prices,% to previous year):
Indicator Years
1997 1998 1999 2000 2001
Investments in fixed assets 88.0 76.0 90.0 82.0 95.0
including:
in manufacturing industries 77.0 64.0 85.0 85.0 97.0
industry, providing services 102.0 86.0 93.0 79.0 94.0
Define:
1) the total change in the volume of investments in the reporting period;
2) contrast the average annual growth rate of investment in various sectors over the period;
3) specify the findings.

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