Problem Solving Statistics

Subject 1. Subject and method of statistics. Summary and grouping.

Task
For a number of light industry enterprises, the following data:
№ p / n of the average number of workers, plant and equipment, ths. Rub volume of output for the year, mln. Rub. № p / n of the average number of workers, plant and equipment, ths. Rub volume of output for the year, mln. Rub.
1100369560 16102256410
2 140 473 760 17 96 220 370
3 94,251,440 18 98,240,330
4 83 280 520 19 84 106 210
5 157 590 800 20 76 180 160
6 195 1200 960 21 96.2503 million
7 54 160 310 22 85 230 240
8120480570 23110370240
9180970820 24112350230
10 125 400 440 25 67 125 150
11 43,120,100 26 63,140,130
12 256 900 990 27 250 1150 920
13,182,670,870 28,212,790,650
14,124,500,410 29,184,290,340
15,110,379,310 30,137,275,320
Grouping companies make the number of workers, forming 6 groups with equal intervals.
Calculate for each group:
1. The number of enterprises
2. The number of workers
3. The volume of production for the year
4. The actual average production per worker
5. The amount of fixed assets
6. The average size of the fixed assets of the company
7. The average value of goods manufactured by one company
The calculation results are formalized in the table. Draw conclusions.
Theme 2. Absolute and relative values

Task
The purchase price of wheat in August this year in Russia was $ 70 per ton. Thus it was planned that in September, the purchase price will be reduced to $ 60. In fact, it was $ 72 per ton. At the same time the US price of wheat reached respectively: $ 90 in August and September 84 dollar. Identify all the possible relative values.
Theme 3. Mean values
Task
Over the past quarter, the bank paid interest on deposits 98 000 monetary units, including short-term - 63, medium - 35 deposit interest rate was respectively 7.5 and 9%. Determine the average deposit interest rate. Justify the choice of form of average.
Topic 4. Performance variations
Task
There is a group of companies largest commodity products:
Groups enterprises largest commodity output, ths. Rub. The number of enterprises
Up to 200
200-400
400-600
600-800
800 5
2
25
3
2
Total 37
To determine: 1) the dispersion of the value of commercial products; 2) the standard deviation; 3) The coefficient of variation
Theme 5. Selective observation
Task
To study the economic activity of the district population of 200,000 people by random sampling without replacement sampling interviewed 4000 people. Of these, 1,600 people have invested their vouchers in investment funds or shares of companies. With a probability of 0.954 to determine the limits of the population of the district, which houses the proportion of the economically active population of the region.
Subject 6. The series speakers
Task
By the following information to determine the average size of the property business in the quarter:
Date Size property, thous. rubles
On 30 01yanvarya
On February 1 40
March 01, 50
At 01 April 30
Theme 7. The economic indices
Task
There is information on the costs of production and the number of indexes:
Product Type Production costs in the I quarter, million rubles. Changing the amount of output in the II quarter compared with I quarter,%
A
B
In 20
12
15 +10
-13
25
To determine: 1) the individual indices of the physical volume of production; 2) The general index of physical volume of production; 3) the cost of the overall index, if you know that the total cost of production increased by 25%. Draw conclusions.
Theme 8. Basics of correlation analysis
Task
The company has reduced prices on products from 80 rubles. per unit of up to 60 rubles. After a decline in sales prices increased from 400 to 500 units a day. To determine the absolute and relative elasticity. Make an assessment of the elasticity of the pur