Independent work No. 3

TOPIC 3. ABSOLUTE AND RELATIVE VALUES.

Give definitions, answer questions, solve problems.

1. Absolute values, application features. Examples of using

2. Relative values. Types and conditions of use

3. Solving problems using absolute values Filling in statistical reporting ( see the methodological guide for doing independent work)

4. Solving problems using relative values (see the methodological guide for doing independent work, option)

Independent work No. 4

THEME №4. AVERAGE VALUES

Define average values, solve problems.

1. Calculate the average monthly wage of workers in the bakery as a whole based on the following data:

Workshop name Number of workers, people Average salary, rub.
Bakery
Confectionery
Soft drinks

Indicate the type of average values used, write and justify the formula

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2. Calculate the average pension based on the following data.

Groups of pensioners by the amount of pensions, rub. Number of pensioners, pers.
Up to 9000.0
9000.0-1100.0
1100.0-1500.0
1500.0-1800.0
Over 1800.0

3.Specify the type of average used.

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Independent work No. 5

TOPIC 5. INDICATORS OF VARIATIONS

Give a definition of a variational series, answer questions, solve problems

1. What are the indicators of variation?

2. For what purposes they are used

3.What is the coefficient of variation?

4. What is the essence of the dispersion indicator?

Task1.

According to the data in the following table for a group of 20 students of the correspondence department, it is necessary:

1) build an interval series of the distribution of a feature and its graph;

2) calculate the modal, median and mean value, establish its typicality using the coefficients of variation;

No. p / p Option
Height, cm Weight, kg Income, c.u./month Numerical Tet-radi, sheets Age, years Ratio “height / weight” Work experience, months Number of friends, pers. Time K-th hour.
3.533 8.5
2.623 6.2
2.875 6.8
3.375 12.0
3,000 7.5
2.828 10.0
3.255 7.2
2.726 4.2
2.429 3.5
2.361 9.5
2.342 7.8
2.672 8.0
2.356 6.0
2.559 4.8
2.173 8.6
2.095 10.0
2.342 4.5

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Independent work No. 6

TOPIC 6. Series of dynamics

Give definitions, answer questions, solve problems

1.Characteristics of the dynamic range and distribution series. Describe the moment and interval time series.

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2. What does the closure of time series mean? What indicators of time series are available, and for what purposes they are used

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3. What is the essence of time series alignment?

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Task 1. There is the following information on the output of the plant for 2010-2015. city (thousand rubles).

Table number 2

years 2010 2011.. 2012 2013 2014 2015
Gross output 30.2 33.4 28.6 29.4 35.8 31.7

Define:

1) absolute gains;

2) the rate of growth and growth;

3) the absolute value of 1% increase;

4) average absolute increase;

5) average annual growth and growth rate

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Task 2. There is the following information on the sale of agricultural products by city stores:

Average annual sales, (thousand rubles):

Table No. 1

Quarter 2013 2014 2015

To identify the main trend in the development of commodity turnover, smooth the levels of a series of dynamics:

1. The method of strengthening periods for three quarters.

2. Moving average method.

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Independent work No. 7

TOPIC 7. SAMPLE METHOD

Give definitions, answer questions, solve problems

1. What are the features and what is the significance of selective observation?

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2. What is the general and sample population

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3.What is sampling error

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4. What are the ways to disseminate sample data

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Task 1. To study the deposits of the population in a commercial bank of the city, a 5% random sample of personal accounts was carried out, as a result of which the following distribution of customers by the size of deposits was obtained:

Deposit amount, c.u. Number of contributors, people
Option
up to 5000
5,000 – 15,000
15,000 – 30,000
30,000 – 50,000
over 50 000

With a probability of 0.954 determine:

1) the average size of the deposit in the entire bank;

2) the share of depositors in the entire bank with a deposit of more than 15,000 USD;

3) the required size of the sample when determining the average size of the contribution, so as not to be mistaken by more than 500 USD;

4) the required sample size when determining the share of depositors in the entire bank with a deposit of more than 30,000 USD, so as not to be mistaken by more than 10%.

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Independent work No. 8

TOPIC 8. INDICES

Give definitions, answer questions, solve problems

1. What is an index and how does it differ from a relative value?

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2. What characterizes the index.

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3. What are the forms of indexes

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4. What is the summary form of indices

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5.Characterize the harmonic indices.

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2. There is information about the output of products at the enterprise, its cost for 2 quarters.

Determine: 1) individual indices of quantity and cost; 2) general indices of production costs, natural output and prime cost; 3) the absolute change in the cost of output in general and by factors: a) due to changes in the cost; b) by changing natural output. Draw conclusions

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Task 2. We have the following data on sales by a minimarket of 3 types of goods (A, B and C):

Product Price per unit of product, rub. Sales volume, thousand pieces
1 quarter 2 quarter 1 quarter 2 quarter
1 option
BUT
AT
With
Option 2
BUT
AT
With
3 option
BUT
AT
With
4 option
BUT
AT

Define:

1. Individual indices of prices, physical volume and turnover;

2. General indices of prices, physical volume and turnover;

3. Absolute increase in turnover due to changes in prices, structural shifts and sales volumes (for each factor separately) for all products and for each product separately.

Based on the results of the calculations, draw reasonable conclusions.

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