Calculate the average annual output of the seller by two shops: =57.59.

Calculate the average annual output of the seller by two shops: =57.59.

Shop	Average annual output of the seller, tg	Commodity turnover of the shop, thsd.tg
А
Б

Calculate the average day production output of worker by the following data: =36.02.

Brigade	Day production output of worker, units	Total amount of made production, units

Calculate the average price index of constant structure: = =1.02.

The form of trade	Volume of sales, thsd. units	Price, tg
1 quarter	2 quarter	1 quarter	2 quarter
State
Private

Calculate the average quadratic deviation (standard deviation) of sales volume by the following data, if average volume of sales is 98 thsd. tg: то что в скобках – серединный интервал. = 98. =(70*20+90*20+110*20+130*20)/125=98 = =17.89.

Day volume of sales, thsd.tg	Number of shops
under 80 (70)
80-100 (90)
100-120 (110)
over 120 (130)

Calculate the average share of import (in %). S=300+500 => *100=20,125%.

Enterprise	Share of import in commodity production	Commodity production, mln.tg.
A	0,12
B	0,25

Calculate the capital intensity rate, if production output is 110 mln. tg., average cost of fixed capital is 90 mln.tg., expenses of raw material is 60 mln.tg. 1/f= /Q= *100%=81.82.

Calculate the coefficient of employment, if the following data are known, thsd. persons; employed in branches of economy - 16500; unemployed - 1780; students in able-bodied age -1670; in charge of housekeeping in able-bodied age - 1700; pensioners - 120; teenagers – 1250. =0.9.

Calculate the general value turnover index: = =1.07.

Kind of goods	Quantity, units	Price, tg
basic period	accounting period	basic period	accounting period
Pens
TV

Calculate the index of average capital productivity ratio of variable structure. ;

Firm	Output, thsd.tenge	Average cost of fixed capital, thsd.tenge
Base year	Accounting year	Base year	Accounting year
Total

Calculate the modal value of wages: x₀-самый часто встречаемый интервал, то есть (15-20), i₀- величина этого интервала, f₂- частота этого интервала, f₁-частота интервала перед ним, f₃- частота интервала после него. = =17.22.

Wages, thsd.tg.	5-10	10-15	15-20	20-25
Number of workers, persons

Calculate the number of economically active population by following data thsd. persons; employed in branches of economy - 16500;unemployed - 1780;students in able-bodied age -1670;in charge of housekeeping in able-bodied age - 1700; pensioners - 120; teenagers – 1250. 16500+1780=18280.

Calculate the perspective population of area for one year forward using global method, if the initial population is 6 mln. persons, and the coefficient of population general increase is 1,3 %. =6(1+ )¹=6.0078.

Calculate the total increase of turnover at the expense of price change by following data: =(35*23+53*8)-(32*23+59*8)=21.

The form of trade	Volume of sales, thsd. units	Price, tg
1 quarter	2 quarter	1 quarter	2 quarter
State
Private

Cost of production has increased by 15 percents during one year and during the next year by 30 percents. Find the average coefficient of growth. = =1.22.

Determine the absolute increase of production at the expense of capital productivity ratio change, if: - cost of fixed capital in basic year – 47 mln. tg, in accounting year - 54; - output in basic year – 43 mln. tg, in accounting year 50. Q_f=Q₁-Q_c; Q_c=f_{0 =>} = =0.91_. Q_f=50-0.91*54=0.6. or

Determine the absolute increase of production at the expense of fixed capital cost change, if: - cost of fixed capital in basic year – 47 mln. tg, in accounting year - 54; - output in basic year – 43 mln. tg, in accounting year 50. =Q_c-Q₀; Q_c=f_{0 =>} = =0.91_. =0.91*54-43. Or

Determine the absolute increase of turnover cost at the expense of physical volume changes. =(30*2926+43000*160)-(30*2050+43000*130)=1316280.

Kind of goods	Quantity, units	Price, tg
basic period	accounting period	basic period	accounting period
Pens
TV

Determine the appropriate frequencies of the following variants: 2; 2; 2; 3; 3; 4; 4; 4; 4; 7; 7; 7; 7; 7; 7: 2=3; 3=2; 4=4; 7=6. => 3; 2; 4; 6.

Determine the average linear deviation of equipment life by the following data, if average equipment life is 7,2 years: то что в скобках – серединный интервал. = = 3.16.

Equipment life, years	up to 4 (2)	4-8 (6)	8-12 (10)	12 and more (14)	total
Number of equipment

Determine the average official dollar rate (tg.) for the second quarter of year by available data: 1.04 - 134,6 tg.; 1.05 - 138 tg.; 1.06 - 131 tg.; 1.07 – 132,5 tg.; = =134.18.

Determine the average percent of spoilage for the 1st quarter: = 4.32%

	January	February	March
Spoilage, %	4,5	4,4	4,2
Output of useful production, thsd.tg.

Determine the cumulative frequencies: number of workers, persons 1; 3; 13; 29; 18; 9. 1+3+13+29+18+9=73.

Determine the fixed capital liquidation coefficient (%) by following data (mln.tg.): presence of fixed capital at the beginning of year - 1150; entrance for the accounting year - 140; liquidated - 110. *100%= *100%=9.57%.

Determine the fixed capital receipt coefficient, if volume of fixed capital at the beginning of year was 20 mln. tg., at the end of year – 18 mln.tg., entrance for the accounting year – 8 mln.tg., liquidated – 4 mln.tg. = =0.44.

Determine the fixed capital renewal coefficient by the following data (mln.tg): cost at the beginning of year - 100. Within the year is bought new - 30; has arrived from other firms – 20; has liquidated – 40. *100%= =0.27.

Determine the limiting error of sample if the average error of sample is equal to 0,54 and the level of guarantee probability is equal to 0,954. =2*0.54=1.08.

P	0.683	0.954	0.997	0.999
T

Determine the median: total = = 13+16+24+20+12+6=91. Находим середину интервала 91/2=45,5. Ищем серединный интервал 13+16=29 – меньше половины. 29+24=53 – больше половины. (24-26) – серединный интервал. x₀-самое маленькое целое значение серединного интервала, i₀- величина этого интервала, S_Me-1- величина получившегося числа, которое было до того, как частота превысила серединный интервал, f_Me- частота серединного интервала. = =25.375.

Х	20-22	22-24	24-26	26-28	28-30	30-32
F

Determine the relative value of structure (in percentage) of enterprises by patterns of ownership =25.64% =61.54% =12.82%

Enterprises	Quantity
State
Privately owned
Joint
Total

Determine the variance of equipment life by the following data, if average equipment life is 7,2 years: то что в скобках – серединный интервал. Ответ может быть в квадрате. = 3.82

Equipment life, years	up to 4 (2)	4-8 (6)	8-12 (10)	12 and more (14)	total
Number of equipment

Find the average standard deviation, if coefficient of variation is equal 15 %, and average value of an attribute is 300. = =45.

How the productivity of work has changed, if volume of production for the quarter has risen by 15 %, the workers number has increased by 8 %? *100%-100%= *100%-100%=6.48%.

If all individual values of an attribute to reduce by 4 units, average: reduce by 4 units.

If all individual values of variant to reduce in 4 times, variance: reduce in 4²=16 times.

If coefficient of correlation is equal to 0,754, coefficient of determination will be equal to: 0.754²=0.569.

If frequencies of all attribute values to increase in 5 times, new average: doesn’t change.

In the one of regions elements of national wealth for the accounting period in the current prices (mln. tenge) are: fixed capital - 630, commodity and material stocks - 280, personal property of population - 150. The prices have increased in comparison with the basic period accordingly by 12 %, 8 % and 11 %. How has the physical volume of national wealth changed if its volume for the base year was of 700 mln. tenge? = =1.367.

Production output volume of the factory was 24 mln. tg for the last year. The plan for the current year was 25 mln. tg., and the factory was made output of 26 mln.tg actually. Determine the relative value of plan target for the current year (%). =104.17%

Production output volume of the factory was 24 mln. tg for the last year. The plan for the current year was 25 mln. tg, and the factory was made output of 26 mln.tg actually. Determine the relative value of plan execution (%). = 104%

Production output volume of the factory was 24 mln. tg for the last year. The plan for the current year was 25 mln. tg, and the factory was made output of 26 mln.tg actually. Determine the relative value of dynamics (%). =108.3%

Specify the median: 2; 4; 3; 6; 10; 12; 15. Медиана – серединный интервал => 6. Если чисел чётное количество, то нужно находить среднеарифметическое между 2 серединных интервалов.

Specify the mode: 1; 1; 2; 2; 2; 3; 3; 3; 4. Мода – самый часто встречаемый интервал => 2 and 3.

Summary turnover index is equal to 0,854. It means that turnover cost has changed: 0.854*100%-100%=-14.6.

The average is equal to 21g by set consisting of 100 units. To that will the new average arithmetic value be equal to, if all variants of an attribute to reduce by 5g: 21-5=16.

The greatest value of fixed capital cost is 25 mln. tg least - 2,5 mln.tg among 20 industrial enterprises. Calculate the size of an interval at division of the given set into 5 groups with equal intervals: =4.5.

There are following data of natural gas manufacture in Kazakhstan, mln.m³:

Years
Natural gas, mln.m^3	17947,8	19945,9	111499,8

Determine the average year rate of increase of natural gas manufacture (%). 2

There are following data of petroleum manufacture in Kazakhstan, thsd. tn.:

Years
Petroleum, thsd.tn.	323818,7	326735,8	330611,5

Determine the average year absolute increase of petroleum manufacture (thsd.tn.): = = =3396,4

There are following data of power generation in Kazakhstan, mln. kilowatt-hour: Determine the average year growth rate of power generation (%).

Years
Electric power	549144,0	547497,6	551444,2

Turnover in average is 70 thsd. tg. and average quadratic deviation - 7,4 thsd.tg. Determine the coefficient of variation. *100%= =10.57.

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