Statistics for STM 00 RIU, Thanatal

in the discipline "Statistics" (STM00)



Task 1.

Determine the type of statistical signs: gender of the individual, his age, nationality, citizenship, academic score, work experience, number of children, monthly income, educational level; the form of ownership of the enterprise, its legal address, the number of personnel, the number of suppliers, gross income, the cost of fixed assets. Fill the table:


Attributive
Quantitative discrete
Quantitative continuous








Task 2.

It is necessary to group at equal intervals the employees of the company "Spectrum" by income level. The total number of employees is 58 people, and the minimum and maximum incomes, respectively, are 7000 and 28000 rubles. Define:

1) the range of variation,

2) the number of intervals and their length,

3) write down the intervals obtained.



Task 3.

There is data on the results of passing the exam on statistics for a group of 20 students: 5, 4, 2, 4, 5, 3, 4, 3, 4, 3, 2, 5, 2, 3, 2, 3, 5, 4, 4 , 3. For this row, complete the following tasks:

1) rank the row and find the rank of each member of the row;

2) build a series of distribution of students according to academic performance points, determine the type of the resulting series, calculate the average performance of students in a given group, fashion and median performance;

3) build a series of distribution of students, highlighting two groups in it: unsuccessful and successful, determine the type of the resulting series. Give a description of the statistical feature underlying this grouping.



Task 4.

There is data on the structure of consumer spending in one of the regions of the country (in percent):


Types of consumer spending
November 2005, XNUMX
November 2006, XNUMX
November 2007, XNUMX

Foodstuffs
36,1
46,9
49,0

Non-food products
45,8
40,1
34,8

Alcoholic drinks
5,0
2,9
2,5

Payment for services
13,1
10,1
13,7

All consumer spending (total)
100
100
100




According to the table, perform the following tasks:

1) determine the type of statistical series;

2) Build a chart showing the cost structure for each year. What kind of chart did you use?

3) Calculate the relative indicators of coordination for each year, taking the share of payments for various services as a comparison base. Draw verbal conclusions.



Task number 5.

There is data on the number of employees of the enterprise at the beginning of each year:



November 2005, XNUMX
November 2006, XNUMX
November 2007, XNUMX
November 2008, XNUMX

Number of employees
1285
1857
3345
3530




According to the table, perform the following tasks:

1) determine the type of statistical series;

2) calculate the main indicators of dynamics for this series, draw verbal conclusions;

3) calculate the average dynamics for a given series. Explain which average formulas you used and why. Draw verbal conclusions.



Task 6.

Known are the types of products that the two enterprises produced and the reporting period. Also known are the prices at which these enterprises sold their products.


Factory "Children's knitwear"
Factory "Cakes"

Type of goods
Price, rub.)
Number of goods sold (pcs.)
Type of goods
Price, rub.)
Number of goods sold (pcs.)

T-shirt
100
10000
Cake "Fairy Tale"
150
4000

shorts
120
5500
Prague cake
190
5000

shirt
50
8000
Napoleon cake"
250
5000

underpants
30
25000
Set of cakes "Secret"
210
3500

socks
15
30000
Set of cakes "Success"
230
3500




Using the data in the table, compare the gross profit of these enterprises. Use the rule for converting natural units into value units. For comparison, use the absolute comparison score and the relative comparison score.



Task 7.

There is data on the production of soap and detergents by the enterprise for the reporting period:
Types of soaps and detergents
Laundry soap 60% fat
Laundry soap 40% fat
Toilet soap 80% fat
Washing p