- Analyze the provided data table for the years 1520, 1566, 1683, 1831, and 1856.
- Compare each of the four statements against the data points provided in the table.
- Calculate the population changes between key years to determine the amount of growth.
- Confirm the third statement as the correct one because the calculated increase of 28,119,340 between 1831 and 1856 is the largest value in the table comparisons.
- Final Answer: \(\boxed{\text{The population increased the most between 1831 and 1856.}}\)
Explanation
- Data and problem analysis
We are given the population of the Ottoman Empire at five different time intervals: 1520 (11,692,480), 1566 (15,000,000), 1683 (30,000,000), 1831 (7,230,660), and 1856 (35,350,000). Our goal is to analyze four specific statements provided and determine which one is supported by the data in the table.
- Evaluating the statements
We examine each statement individually based on the data:
- "The Ottoman Empire had its greatest population in 1566." Comparing 15,000,000 (1566) with 30,000,000 (1683) and 35,350,000 (1856), we see that 15,000,000 is not the largest. This statement is incorrect.
- "The population declined between 1566 and 1683." Comparing the population in 1566 (15,000,000) and 1683 (30,000,000), the population increased, so this statement is incorrect.
- "The population increased the most between 1831 and 1856." We calculate the growth:
- 1520 to 1566: \(15,000,000 - 11,692,480 = 3,307,520\).
- 1566 to 1683: \(30,000,000 - 15,000,000 = 15,000,000\).
- 1831 to 1856: \(35,350,000 - 7,230,660 = 28,119,340\).
Comparing these values, the largest increase is indeed between 1831 and 1856.
- "There were more people living in the empire in 1683 than in 1856." Comparing 30,000,000 (1683) with 35,350,000 (1856), we see that 30,000,000 is less than 35,350,000. This statement is incorrect.
- Conclusion
Based on our evaluation, the only statement supported by the provided information is that the population increased the most between 1831 and 1856. The final answer is \(\boxed{\text{The population increased the most between 1831 and 1856.}}\).
Examples
Analyzing data tables is a fundamental skill in history, geography, and economics. For example, if you are looking at the growth of a city's population over several decades, you can use these tables to identify patterns, such as periods of rapid urbanization or migration. Understanding these changes helps city planners allocate resources effectively, such as building more schools or public transportation, based on the documented historical trends. This simple arithmetic analysis provides the foundational logic for interpreting real-world statistical reports.