'statistics is defined as aggregate of numerical fact'. These implies that for figures to be included in statistics they must be aggregate of fact and not individual figures. For example: The fact that height of a student is five feet tells nothing unless it is comparable. Another example suppose we collect data of 1000 school going children. But these data will not be useful unless organized into group table etc.

Examples of Statistics as Aggregate of Numerical Facts:

Statistics is a branch of mathematics that involves collecting, analyzing, interpreting, presenting, and organizing data. It provides a way to understand and make sense of numerical facts. Here are a few examples that illustrate how statistics can be used to analyze data and draw meaningful conclusions:

1. Population Statistics:
- The total population of a country, state, or city is an example of a statistic that represents an aggregate of numerical facts.
- For instance, the population of the United States is approximately 331 million as of 2021.

2. Economic Indicators:
- Statistics are often used to measure economic factors such as GDP (Gross Domestic Product), inflation rate, or unemployment rate.
- For example, the GDP of a country represents the total value of goods and services produced within its borders in a specific period. This numerical fact helps evaluate the economic performance of a nation.

3. Opinion Polls:
- Statistics are frequently used to gather public opinion on various topics.
- Opinion polls collect numerical data on people's preferences, beliefs, or attitudes. For instance, a poll may ask individuals which political party they intend to vote for in an upcoming election. The aggregated results provide insights into the overall sentiment of the population.

4. Sports Statistics:
- Statistics play a crucial role in sports, as they provide a quantitative analysis of athletes' performance.
- Examples include batting averages in baseball, shooting percentages in basketball, or goals scored in soccer. These numerical facts not only help track individual performance but also allow comparisons and rankings among players or teams.

5. Health Statistics:
- Statistics are used extensively in the field of health to track and analyze various factors.
- For instance, the mortality rate represents the number of deaths per unit of population. This statistic helps identify trends, track the impact of diseases, and evaluate healthcare systems.

6. Climate Data:
- Statistics are crucial for analyzing and understanding climate patterns.
- Data on temperature, rainfall, or sea level rise are aggregated to provide long-term trends and predictions. These numerical facts contribute to climate research, weather forecasting, and policy-making.

7. Crime Rates:
- Statistics are used to track and analyze crime rates in different regions.
- For example, the number of reported crimes such as thefts, assaults, or burglaries can be collected and aggregated to understand crime patterns, identify high-risk areas, and allocate resources for law enforcement.

8. Education Statistics:
- Statistics are used to measure educational outcomes and performance.
- For instance, graduation rates, test scores, or enrollment numbers can be aggregated to assess the effectiveness of educational policies, identify achievement gaps, and make informed decisions for improvement.

Overall, statistics provide a quantitative framework to analyze and interpret numerical facts across various domains. By aggregating data and applying appropriate statistical methods, meaningful insights can be derived, leading to informed decision-making and a deeper understanding of the world around us.