# Statistical Methods in Synergy Management

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**13.03.2023**Content: Statistical Methods in Control..pdf (419.51 KB)

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Find a correspondence between a series of dynamics and its classification

A. Series of dynamics depending on the way of expressing levels

B. Time Series vs. How Time Is Expressed

C. Series of dynamics depending on the distance between levels

D. Series of dynamics depending on

E. absolute, relative and average values

F. interval and moment

G. equidistant and unequal

H. Stationary and non-stationary

Find a correspondence between the value of the coupling coefficient and the degree of closeness of the relationship

A 0,3

B. 0,72

C. -0,82

D. -0,56

E. direct, very weak dependence

F. direct, strong dependence

G. back, strong connection

H. inverse, moderate dependence

The indicators characterizing the distribution series include:

group averages;

structural averages;

Variants of a variable sign;

frequencies;

frequency;

It is known that the variance of the feature is 3600, the coefficient of variation of the feature is 50%. The average value of the feature will be:

· 120

· 83

· 72

· 1,3

The content of the problem solved by analyzing the series of dynamics ...

measurement of the level of variation of phenomena;

analysis of time proportions;

· analysis of the process of development of the phenomenon in time;

· analysis of interrelations of indicators.

The population on which the average value is calculated should be ...

orderly

homogeneous

stationary

general

obey the normal distribution law

If the cost of production increased by 15%, and the quantity of production decreased by 7%, then the production cost index will be:

106,95%;

123,65%;

· 80,87%.

Find a correspondence between a variable and its presence or absence of ordering in time

1-G, 2-A, 3-B, 4-C

1-C, 2-G, 3-B, 4-A

1-C, 2-A, 3-G, 4-B

1-A, 2-D, 3-B, 4-C

A complex summary of statistical materials includes the following steps ...

control of primary (actual) data;

grouping of units of observation;

calculation of results;

placement of summary results in the form of tables;

calculation of averages.

Distribute in the correct sequence the stages of building statistical groupings:

1. determination of the boundaries of the grouping intervals.

2. calculation of specific indicators characterizing the selected groups;

3. choice of grouping feature;

4. determination of the number of groups;

Determine the correct sequence for calculating the indicator "Absolute value of one percent increase":

1. split

2. absolute growth

3. on

4. growth rate

Consider two situations and choose the correct answer: Given a variation series of a sample of size n = 10: -2, 0, 3, 3, 4, 5, 9, 9, 11, 12. The sample median for this series is 4. Given a variation series of the sample volume n = 8: –2, 0, 1, 3, 4, 4, 5, 8. The sample median for this series is 3.

A-yes, B-yes;

B-no, B-no;

B - no, B-yes;

A-yes, B-no.

The turnover in general for the commodity group in June amounted to 900 thousand rubles, and in May, with a fixed sales volume in June - 850 thousand rubles, which indicates:

· the amount of overspending of buyers by 850 thousand rubles. from price changes;

· the amount of savings of buyers by 50 thousand rubles. from changes in cost;

· the amount of overspending of buyers by 50 thousand rubles. from price changes;

· an increase in prices by an average of 5,9% per product group.

Unemployment rate in Moscow and Krasnodar for the first ten months of 2020 represented as a diagram {…}

A. Series of dynamics depending on the way of expressing levels

B. Time Series vs. How Time Is Expressed

C. Series of dynamics depending on the distance between levels

D. Series of dynamics depending on

E. absolute, relative and average values

F. interval and moment

G. equidistant and unequal

H. Stationary and non-stationary

Find a correspondence between the value of the coupling coefficient and the degree of closeness of the relationship

A 0,3

B. 0,72

C. -0,82

D. -0,56

E. direct, very weak dependence

F. direct, strong dependence

G. back, strong connection

H. inverse, moderate dependence

The indicators characterizing the distribution series include:

group averages;

structural averages;

Variants of a variable sign;

frequencies;

frequency;

It is known that the variance of the feature is 3600, the coefficient of variation of the feature is 50%. The average value of the feature will be:

· 120

· 83

· 72

· 1,3

The content of the problem solved by analyzing the series of dynamics ...

measurement of the level of variation of phenomena;

analysis of time proportions;

· analysis of the process of development of the phenomenon in time;

· analysis of interrelations of indicators.

The population on which the average value is calculated should be ...

orderly

homogeneous

stationary

general

obey the normal distribution law

If the cost of production increased by 15%, and the quantity of production decreased by 7%, then the production cost index will be:

106,95%;

123,65%;

· 80,87%.

Find a correspondence between a variable and its presence or absence of ordering in time

1-G, 2-A, 3-B, 4-C

1-C, 2-G, 3-B, 4-A

1-C, 2-A, 3-G, 4-B

1-A, 2-D, 3-B, 4-C

A complex summary of statistical materials includes the following steps ...

control of primary (actual) data;

grouping of units of observation;

calculation of results;

placement of summary results in the form of tables;

calculation of averages.

Distribute in the correct sequence the stages of building statistical groupings:

1. determination of the boundaries of the grouping intervals.

2. calculation of specific indicators characterizing the selected groups;

3. choice of grouping feature;

4. determination of the number of groups;

Determine the correct sequence for calculating the indicator "Absolute value of one percent increase":

1. split

2. absolute growth

3. on

4. growth rate

Consider two situations and choose the correct answer: Given a variation series of a sample of size n = 10: -2, 0, 3, 3, 4, 5, 9, 9, 11, 12. The sample median for this series is 4. Given a variation series of the sample volume n = 8: –2, 0, 1, 3, 4, 4, 5, 8. The sample median for this series is 3.

A-yes, B-yes;

B-no, B-no;

B - no, B-yes;

A-yes, B-no.

The turnover in general for the commodity group in June amounted to 900 thousand rubles, and in May, with a fixed sales volume in June - 850 thousand rubles, which indicates:

· the amount of overspending of buyers by 850 thousand rubles. from price changes;

· the amount of savings of buyers by 50 thousand rubles. from changes in cost;

· the amount of overspending of buyers by 50 thousand rubles. from price changes;

· an increase in prices by an average of 5,9% per product group.

Unemployment rate in Moscow and Krasnodar for the first ten months of 2020 represented as a diagram {…}

Additional Information

If the coefficient of variation in the age of listeners in a group is 12,5%, then on average the age of each listener in this group differs from the general average age of 24 years by:· 3 years

· 1,2 years

· 1,92 years

· 1,1 years

Performance dynamics of some teams in the Russian football championships in 2014-2017 presented in the table

Which of the teams shown shows a deterioration in performance over a four-year period?

the Spartak team, since the total number of points scored is less than that of the CSKA club;

· the CSKA team, as its points gain was 95,9%, while that of CSKA was 113,8%;

The Spartak team, since its average number of points scored is 9% less than that of

club "CSKA";

Both teams are characterized by negative performance dynamics for the period under review.

The structure of the distribution of current expenditures of the population on various types of goods and services in some countries of the world is an example:

bar chart;

a strip chart

· Diagrams of specific weights;

charts with proportional areas.

Match the name and method of determining the corresponding relative indicator

1-A, 2-D, 3-B, 4-C;

1-D, 2-A, 3-C, 4-B;

1-B, 2-A, 3-D, 4-C;

1-B, 2-D, 3-C, 4-A.

Find a match between the concept and its description

1-D, 2-A, 3-B, 4-C;

1-A, 2-D, 3-B, 4-C;

1-C, 2-A, 3-D, 4-B;

1-D, 2-B, 3-A, 4-C.

If the relative indicator of the implementation of the production plan by the enterprise was 103%, and the volume of production increased by 2% compared to the previous period, then the plan provided for:

Decrease in production volume;

Stabilization of production volume;

Growth in the volume of production.

increase in production volume.

Variables "height, weight, blood pressure and other measurable physiological parameters of a person" are of the type:

categorical nominal;

· categorical ordinal;

quantitative discrete;

quantitative continuous.

Find a match between the data and the way you get it:

1-A, 2-C, 3-D, 4-B;

1-C, 2-A, 3-B, 4-D;

1-A, 2-B, 3-D, 4-C;

1-C, 2-A, 3-B, 4-D.

The statistic is…

146,6 million people;

146,6 million people - number at the beginning of May 2020;

146,6 million people - the number of registered as of the beginning of May 2020;

146,6 million people - the population of the Russian Federation at the beginning of May 2020.

The Spearman rank correlation coefficient can be used to assess the closeness of the relationship between features ...

quantitative and ordinal;

order and quality;

Any quality

alternative and classification.

Determine the correct sequence for calculating the Spearman rank correlation coefficient:

1. Find the sum of the square of the rank difference and use it as the main indicator when calculating the coupling coefficient.

2. Squaring the difference in ranks.

3. Calculate the differences between the empirical and theoretical frequencies (experimental and control groups) for each row and write them down in the calculated column.

4. Enter in the table the name of the discharges and empirical frequencies (data for the experimental group) and write down the theoretical frequencies (data for the control group) in the next column.

The distribution of the number of kiosks by average daily revenue is presented in the table:

Define modal spacing

· 128–132;

· 132–136;

· 136–140;

· 140–144.

According to the results of the training session, it was found that the association coefficient between the indicators "Satisfaction with the results of training" and "Activity of participation in group training activities" is 0,82. It means that:

Active participation in group activities did not affect the assessment of satisfaction with learning outcomes

Satisfaction with the results of training is the higher, the more active was the participation of the employee in group training activities

Satisfaction with the results of training depends entirely on the active participation of employees in group training events

Impact study so far