# Problems in the Theory of Statistics

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## Description

Objective 1.2.
List the signs (7-10), with which you can describe the students in your group.

Objective 2.4
Check the correctness of the report and give the company a conclusion.
Indicator value
The volume of output, ths. Rub. 3098
Balance of finished goods at the beginning of period, thous. 45
Balance of finished products at the end of the period, thousand rubles. 15
The volume of sales, ths. Rub. 3200
Cost of sales, thousand rubles. 2180
Profit from sales of products, ths. Rub. 2020

Objective 3.4.
On the basis of the data in Table 3, build a complex grouping of labor resources of the enterprise by gender and age.
Table 3.
Gender and age characteristics of staff of the enterprise "ABC"
Number Name Position Age, wage, rubles
1 Director Aksenova LM 42 65
2 Poor HH Accountant 37 35
3 Rich SL Manager 25 30
4 Vorobiev Manager MM 28 30
5 SM Kuznetsov Manager 37 30
6 Kuznetsova SP Secretary December 22
7 Mamaev LL Technologist 34 40
8 OL Sokolov foreman 1 45 32
9 Solovyov NN foreman 2 47 32
Ivanov PP 10 45 30 Work
11 50 30 Operating PetrovSR
PP Sidorov 12 32 30 Work
Spiridonov RA 13 Safety 19 22
14 Nil 31 30 BB Work
Borovikova PP 15 22 20 Work
Kulikova EN 16 32 30 Work
Zuev SS 17 34 30 Work
18 Zabrodina LT Work 48 30
Zabolotskaya 19 TP 46 30 Work
AI Sidorov 20 52 30 Work
21 Petrova TT Work 27 20
22 Ivanova LK cleaner 60 8
Kulakov 23 30 24 CM Security
24 Deushkina LR 55 8 Cleaner
25 37 24 Security ObravkinDM

Baseline total score on the exam
125 100 240 130 160 180 184 156 120 180
130 133 156 167 167 158 146 194 190 200
139 156 158 168 170 173 110 115 175 170
1. Build the interval number of applicants on the results of the distribution of the exam.
2. Determine the median and mode.
3. Draw conclusions.

Objective 5.3
Intergroup variance is 340, total - 380
Determine the average intra-variance and empirical correlation ratio.

Initial data
Grain production, in%, 1989
1990 111.4
1991 85
1992 102
1993 94.6
1994 77.6
1995 60.5
1996 66.1
1997 84.5
1998 45.7
1999 52.2
2000 62.5
2001 81.3
2002 82.6
2003 64.1
2004 74.5
2005 74.6
2006 75.9
2007 77.9
1. Calculate the relative performance speakers with a variable base of comparison.
2. Make a conclusion.

Index of variable composition of production costs is 1.1.
The index ended the fixed cost of production is equal to 0.95.
Determine the index of structural changes of production costs, draw conclusions.

Number 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
In% 28.8 28.7 29.6 31.7 30.5 30 33.2 30.8 34 33 34 34.7 34.1 34.3 34.8
X1, thous. 235 240 242 248 250 255 257 258 265 267 268 271 273 275 280
X2 0.9 mln
1.2
2.1
2.1
0.7
0.65
1.3
1.9
1.9
1.9
2
2.1
2.2
0.7
1.3
X3, mln 1.1 1.2 1.1 3.4 3 2.9 4 5.9 5.4 2.2 2 3.7 3.1 2 4
Number 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
in 36.2 38.1 38.9 40 37.6 38.1 39.5 44.3 43.5 40.8 41.2 30.9 37 40.4 38
X1 285 290 295 296 297 299 300 305 310 310 320 322 328 330 334
A2 1.4 1.8 1.7 2.1 2 1.6 1.5 0.9 2 2.9 1.8 2 2.7 2.7 1.7
X3 4.5 3.6 4 5.6 4.3 5.4 5.7 6 3.2 7 4.2 8 5.7 3.4 3.8
Conduct a group of data to plot connections and closeness of the relationship to determine the direction and shape of the relationship between the level of labor productivity (x1), the size of the share capital (x2) worth of fixed assets (x3) and profitability of products (y).

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