Analysis of Plan Implementation in Statistics

The analysis of plan implementation is a crucial tool in statistics, enabling the assessment of the effectiveness of planned activities and the achievement
of set goals. This process involves comparing actual results with planned indicators to identify deviations and understand their causes. By conducting
such analyses, organizations and enterprises can make informed decisions to adjust strategies and optimize resources.

Main Stages of Analysis of Plan Implementation

1. Data Collection and Processing:
   • Data Collection: This involves obtaining actual indicators for a specific period, which are then compared with the planned values. Accurate
     and comprehensive data collection is vital to ensure the reliability of the analysis.
   • Data Processing: This step involves calculating absolute and relative deviations. Absolute deviation refers to the difference between actual
     and planned values, while relative deviation expresses this difference as a percentage of the planned value. These calculations help in
     assessing the degree of plan implementation.
2. Calculation of Deviations:
   • Absolute Deviation: This is the simple difference between actual results and planned indicators.
   • Relative Deviation: This is the percentage difference, calculated as
3. Interpretation of Results:
   • This stage includes identifying the causes of deviations and developing recommendations to address them. It involves analyzing the reasons
     behind any discrepancies, whether they result from external factors, internal inefficiencies, or inaccurate planning.

Importance of Analysis of Plan Implementation

The analysis of plan implementation holds significant importance for organizational management, as it allows for the timely identification of problems and
the making of effective management decisions. This process contributes to increasing the efficiency of activities, optimizing resource usage, and achieving
set objectives. Furthermore, it enhances transparency and accountability within the organization, which is essential for sustainable development.

Applications and Benefits

• Enhanced Decision-Making: By understanding the extent to which plans have been implemented, management can make data-driven adjustments
  to strategies, thereby improving overall performance.
• Resource Optimization: Identifying areas where resources are under or over-utilized allows for better allocation and efficiency.
• Goal Achievement: Regular analysis ensures that the organization stays on track to meet its objectives and can make necessary course corrections
  promptly.
• Increased Transparency: Documenting and analyzing the implementation process increases transparency, which can boost stakeholder confidence
  and accountability.

Conclusion

The analysis of plan implementation in statistics is an indispensable process for organizations aiming to enhance their operational efficiency and achieve
their goals. By systematically collecting, processing, and interpreting data, organizations can identify deviations, understand their causes, and make informed
decisions to optimize their strategies and resource allocation. This ongoing process is fundamental to fostering a culture of continuous improvement and
accountability.

Task

The relative indicator of the enterprise's plan fulfillment was 103%. At the same time, the production volume increased by 2% compared to the previous period.
What was envisaged by the plan?

Solution

1. Definition of the Planned Task: Since the fulfillment of the planned task was 103%, it is logical to assume that the planned task is 100%.
2. Analysis of Production Growth: Since production volumes increased by 2% compared to the previous period, we express the production volume
   of the previous period through the production volume of the current period in planned indicators:
103% / ( 100% + 2% ) =100.98%


or

1.03 / 1.02=1.0098


This means that the production volumes of the previous period were 100.98% of the plan for the current period.

3. Finding the Planned Production Volume of the Current Period: Now we find the planned production volume of the current period relative to
   the plan of the previous period:

or

This means that the production plan of the current period is 99.03% of the production plan of the previous period.

Extended Explanation

1. Definition of the Planned Task: Fulfilling the plan by 103% means that the actual production volume exceeded the planned by 3%. That is,
   if the planned production volume is taken as 100%, then the actual production volume is 103%.
2. Analysis of Production Volume Growth: An increase in production volume by 2% compared to the previous period means that the actual
   production volume of the current period is 102% of the production volume of the previous period. That is, if the production volume of the previous
   period is taken as 100%, then the production volume of the current period is 102%.
3. Determining the Production Volume of the Previous Period: To determine the production volume of the previous period as a percentage of
   the plan of the current period, divide the actual production volume of the current period (103%) by the growth in production volumes (102%):

1. Finding the Planned Production Volume of the Current Period: To determine the planned production volume of the current period as a percentage
   of the plan of the previous period, divide 100% by the production volume of the previous period as a percentage of the plan of the current period:

Thus, the production plan of the current period is 99.03% of the production plan of the previous period.