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# Statistics, option 4

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**17.08.2013**

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## Product description

Task 1.

Sale of certain goods in the implementation of the two points of the second half of the reporting quarter was characterized by the following data:

3rd Quarter 4th Quarter

Average price rub. / Pcs. The volume of sales volume. Relative values \u200b\u200bof the dynamics in the fourth quarter, compared with the prices of the 3rd quarter sales volume, rubles.

1

2155

120345

380 92

113 51 336

49 222.8

1. Calculate the average price of goods on the implementation of the two points in the 3rd and 4th quarters. Specify the type of medium used by, compare the results.

2. To determine the effect of price changes on sales of goods for each point separately and implementation of both together. Draw conclusions.

Task 2

Cost and volume of identical products of the two firms is as follows:

Companies Products 2010 2011

The volume of production, thous. Pcs. Cost of 1 pcs., Rubles. The volume of production, thous. Pcs. Cost of 1 pcs., Rubles.

1

2

A

B

A

B 600

250

590

235 1790

2800

1800

2900600

255

610

250 1800

2800

1780

2790

Estimate:

1. For each of the firms in the context of the entire range of output and its individual components of the index the cost of production, volume production, the cost of production.

2. For the two companies, along with product index dynamics of the average cost, the cost of constant composition index, the index of structural change.

3. To analyze the results in terms of determining the state of the market environment.

Objective 3

According to the company are the following:

Goods Reported production costs of goods, thous. Changes in the unit cost of goods%

A

B

In 578

507

1 230 12.6

-4.6

No change

On the basis of these data to determine: the average change in the cost of production; the absolute amount of savings and cost overruns on changes in unit costs. Draw conclusions.

Task 4

In the reporting year 25 companies sub-sector is characterized by the following data on the average annual value of fixed assets (mln. Rub.) And the cost of salable production (mln. Rub.):

Option 4:

Product funds Product funds Product funds Product funds Product funds

522

415

241

166

399639

562

265

211

365532

589

395

548 ...

On the basis of the data relevant to your version, run:

1. Build a structural grouping of value of fixed assets using the equal-closed intervals, taking the number of groups is 4.

2. On the basis of the structural groups to build a frequency variation and a cumulative series. The results are presented in a table and graphically.

3. To analyze the variation number distribution by calculating:

the arithmetic mean value of the sign;

mode, median, 1st quartile, 3rd and 9th decile;

standard deviation;

the coefficient of variation.

4. To draw conclusions.

## Additional information

Objective 5

The dynamic range of the number of births in some areas in 2000-2006. characterized by the following data:

Option 4:

Years 2000 2001 2002 2003 2004 2005 2006

Births, thous. People. 3 265 3 561 3 347 3 398 4 213 4 221 4 202

On the basis of the number of speakers to determine:

absolute increases, the rate of growth and change over the years and by 2000, the absolute content of one percent increase (obtained figures represented in table form);

the annual average number of births and the average annual value growth of this number;

an average annual rate of growth and change during the period;

to produce a number of smoothing a three-year moving average of the dynamics;

graphically (in a coordination plane) and the actual aligned rows;

draw conclusions.

Task 6

1. Using the results of calculations performed in the job №4, and shallow, that these data were obtained using the natural random 10 per cent sampling without replacement sampling, to determine:

a) limits for which a confidence level of 0.954 will not feature value calculated by tral population;

b) how to change the volume of the sample to reduce the margin of error for the mean value of 50%.

2. Using the results of calculations performed in the job №4, sloping and that the data obtained by repeated selection, to determine:

a) limits beyond which the population will not share value of companies in which the individual characteristic values \u200b\u200bexceed the fashion, with a confidence level of 0.954;

b) how to change the volume of the sample to reduce the margin of error of 20% proportion.