# Statistics, option 1

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Task №1

Make the group of shops №№ 1 ... 20 (see. Annex 1) on the basis of size of turnover, thus forming four groups with equal intervals. The predicate group table must contain the following parameters:

1. The number of stores;

2. The turnover in the amount and the average per store;

3. distribution costs in the amount and the average per store;

4. The relative level of distribution costs (as% of turnover);

5. The value of fixed assets;

6. The number of sellers;

7. trading area.

The results take the form of statistical tables.

Draw conclusions.

Shop Number Turnover (mln. Rub.) Distribution costs, (mln. Rub.) The cost of fixed assets (annual average) (mln. Rub.) The number of sellers (pers.) Sales area (m)

1 2 3 4 5 6

1 148 20.4 5.3 64 1070

2 180 19.2 4.2 85 1360

3132 18.9 4.7 92 1140

4314 28.6 7.3 1848 130

5235 24.8 7.8 1335 132

6 80 9.2 2.2 41 946

7113 10.9 3.2 40 1435

8300 30.1 6.8 1820 184

9 142 16.7 5.7 50 1256

10 280 46.8 6.3 105 1353

11 156 30.4 5.7 57 1138

12 213 28.1 5.0 100 1216

13 298 38.5 6.7 112 1352

14 242 34.2 6.5 106 1445

15 130 20.1 4.8 62 1246

16 184 22.3 6.8 60 1332

17 96 9.8 3.0 34 680

18 304 38.7 6.9 109 1435

19 2.8 95 11.7 38 582

20 352 40.1 8.3 115 1677

Problem №2

Using the built in task №1 interval number of shops on the size distribution of turnover, determine:

1. The standard deviation;

2. The coefficient of variation;

3. modal value.

Construct a histogram distribution and draw conclusions.

Problem №3

A 5-percent inspection of the quality of received shipments. The sample included 800 units (on the basis of a mechanical method selection), 90 units were substandard. The average weight of one product in a choice of 18.6 kg, and the variance - 0.09.

Define:

1. With probability 0.954 extent to which is the proportion of the general non-standard products.

2. With a probability of 0.997 extent to which there is an average weight of one product in the whole lot.

Problem №4

We have the following information on the turnover of trade enterprises for the 2003 - 2007 GG .:

Years 2003 2004 2005 2006 2007

Turnover (mln. Rub.) 40.2 48.3 54.4 60.2 64.8

1. To analyze the dynamics of the turnover of trade enterprises in 2003-2007 define:

absolute increases, the growth rate and growth rate (on the basis of the chain and the base);

average dynamics;

possible size of turnover in 2008 (using the average absolute increase);

Draw a graph showing the intensity of the dynamics of trade turnover.

2. The analysis of the general trend of the development of trade:

initial levels and aligned series of speakers apply to the schedule and draw conclusions;

using the constructed model, make a prediction of the possible size of the turnover in 2008.

compare the results obtained in points 1.3 and 2.2.

Make the group of shops №№ 1 ... 20 (see. Annex 1) on the basis of size of turnover, thus forming four groups with equal intervals. The predicate group table must contain the following parameters:

1. The number of stores;

2. The turnover in the amount and the average per store;

3. distribution costs in the amount and the average per store;

4. The relative level of distribution costs (as% of turnover);

5. The value of fixed assets;

6. The number of sellers;

7. trading area.

The results take the form of statistical tables.

Draw conclusions.

Shop Number Turnover (mln. Rub.) Distribution costs, (mln. Rub.) The cost of fixed assets (annual average) (mln. Rub.) The number of sellers (pers.) Sales area (m)

1 2 3 4 5 6

1 148 20.4 5.3 64 1070

2 180 19.2 4.2 85 1360

3132 18.9 4.7 92 1140

4314 28.6 7.3 1848 130

5235 24.8 7.8 1335 132

6 80 9.2 2.2 41 946

7113 10.9 3.2 40 1435

8300 30.1 6.8 1820 184

9 142 16.7 5.7 50 1256

10 280 46.8 6.3 105 1353

11 156 30.4 5.7 57 1138

12 213 28.1 5.0 100 1216

13 298 38.5 6.7 112 1352

14 242 34.2 6.5 106 1445

15 130 20.1 4.8 62 1246

16 184 22.3 6.8 60 1332

17 96 9.8 3.0 34 680

18 304 38.7 6.9 109 1435

19 2.8 95 11.7 38 582

20 352 40.1 8.3 115 1677

Problem №2

Using the built in task №1 interval number of shops on the size distribution of turnover, determine:

1. The standard deviation;

2. The coefficient of variation;

3. modal value.

Construct a histogram distribution and draw conclusions.

Problem №3

A 5-percent inspection of the quality of received shipments. The sample included 800 units (on the basis of a mechanical method selection), 90 units were substandard. The average weight of one product in a choice of 18.6 kg, and the variance - 0.09.

Define:

1. With probability 0.954 extent to which is the proportion of the general non-standard products.

2. With a probability of 0.997 extent to which there is an average weight of one product in the whole lot.

Problem №4

We have the following information on the turnover of trade enterprises for the 2003 - 2007 GG .:

Years 2003 2004 2005 2006 2007

Turnover (mln. Rub.) 40.2 48.3 54.4 60.2 64.8

1. To analyze the dynamics of the turnover of trade enterprises in 2003-2007 define:

absolute increases, the growth rate and growth rate (on the basis of the chain and the base);

average dynamics;

possible size of turnover in 2008 (using the average absolute increase);

Draw a graph showing the intensity of the dynamics of trade turnover.

2. The analysis of the general trend of the development of trade:

initial levels and aligned series of speakers apply to the schedule and draw conclusions;

using the constructed model, make a prediction of the possible size of the turnover in 2008.

compare the results obtained in points 1.3 and 2.2.

Problem №5

The available data on the sale of products in the market town for the two periods:

Products Sold (t.) Modal price (rub. Per 1 kg.)

September September January January

1 2 3 4 5

A 180,142 64.40 72.82

B 375 390 87.18 95.20

The 248 300 33.50 38.28

Define:

1. The individual price indices and volume.

2. The overall price index.

3. Total turnover indices: at current and constant prices.

4. How did the change in prices in January, as compared to September on total proceeds from the sale of these products.

Task №6

The following sales figures sales now for the two periods:

Commodity groups Turnover at current prices (mln. Rub.) Change in price (%)

1st period 2nd period

1 2 3 4

A 17.6 32.4 180

B 12.1 18.4 160

20.2 44.8 200

D 20.6 60.5 140

On the basis of the data given, determine:

1. Individual and general indexes: prices, physical volume and turnover.

2. The increase in turnover in the second period compared to the first period (total and due to the actions of individual factors).

Task №7

The rate of growth in output in the company in 2003 - 2007 GG composition (in% to the previous year):

Years 2003 2004 2005 2006 2007

The growth rate (%) 101.2 102.8 110.4 116.5 117.4

It is known that in 2007 produced products by 11.4 mln. Rubles.

Define:

1. The overall increase in production for 2003 - 2007 (In%).

2. The average annual growth rate and growth in output.

3. The method of extrapolating the possible volume of production at the plant in 2008.

Task №8

According to the initial data of the problem №1, build a regression equation between the volume of turnover and the amount of the costs of circulation of shops №№ 1 ... 20.

The actual and theoretical levels apply to the chart of the correlation of the field.

Draw conclusions.

The available data on the sale of products in the market town for the two periods:

Products Sold (t.) Modal price (rub. Per 1 kg.)

September September January January

1 2 3 4 5

A 180,142 64.40 72.82

B 375 390 87.18 95.20

The 248 300 33.50 38.28

Define:

1. The individual price indices and volume.

2. The overall price index.

3. Total turnover indices: at current and constant prices.

4. How did the change in prices in January, as compared to September on total proceeds from the sale of these products.

Task №6

The following sales figures sales now for the two periods:

Commodity groups Turnover at current prices (mln. Rub.) Change in price (%)

1st period 2nd period

1 2 3 4

A 17.6 32.4 180

B 12.1 18.4 160

20.2 44.8 200

D 20.6 60.5 140

On the basis of the data given, determine:

1. Individual and general indexes: prices, physical volume and turnover.

2. The increase in turnover in the second period compared to the first period (total and due to the actions of individual factors).

Task №7

The rate of growth in output in the company in 2003 - 2007 GG composition (in% to the previous year):

Years 2003 2004 2005 2006 2007

The growth rate (%) 101.2 102.8 110.4 116.5 117.4

It is known that in 2007 produced products by 11.4 mln. Rubles.

Define:

1. The overall increase in production for 2003 - 2007 (In%).

2. The average annual growth rate and growth in output.

3. The method of extrapolating the possible volume of production at the plant in 2008.

Task №8

According to the initial data of the problem №1, build a regression equation between the volume of turnover and the amount of the costs of circulation of shops №№ 1 ... 20.

The actual and theoretical levels apply to the chart of the correlation of the field.

Draw conclusions.