Question

What do they mean in practical terms? In the U.S. population, about \(14.5 \%\) of all men are 1.83 meters tall or taller.

Short answer

Answer: Approximately 23,596,140 males in the United States are 1.83 meters tall or taller.

Step-by-step solution

Determine the male population of the United States

First, we need to find out the current male population of the United States. According to the latest data by the United States Census Bureau, approximately 49.2% of the population is male. The current population is about 331 million people. So, we will first calculate the number of males in the U.S. by using this percentage. Male population = (49.2 / 100) * 331,000,000 ≈ 162,732,000

Calculate the number of males who are 1.83 meters tall or taller

Now, we need to find the number of males who are 1.83 meters tall or taller using the percentage given in the exercise, which is 14.5%. We will apply this percentage to the male population, and then round the result to the nearest whole number. Number of males 1.83 meters or taller = (14.5 / 100) * 162,732,000 ≈ 23,596,140

Interpret the result

Finally, we can interpret the result we obtained in Step 2. It means that approximately 23,596,140 males in the United States are 1.83 meters tall or taller. This gives us a better understanding of the practical implications of the given percentage, revealing how many individuals in the male population fall into this height category.

Key concepts

Understanding Population Statistics

Population statistics involve studying the characteristics and analysis of the numbers associated with a particular group within a population. In this context, we're examining the U.S. male population.
To begin with, determining what percentage of the U.S. population is male helps us understand the demographic distribution. As per census data, about 49.2% of the entire U.S. population is male.
This statistical measurement aids in breaking down large datasets into manageable figures, enabling us to focus on specific groups or trends. For instance, knowing that out of approximately 331 million people, 162,732,000 are males does not just provide a number. It offers a foundational understanding needed to delve deeper into more specific statistical analysis. It also allows for insights into societal needs, policy-making, and tailored services.

Mastering Percentage Calculation

Percentage calculation is an essential concept in understanding proportions within data sets. Often, we want to find out how a certain percentage of a whole impacts the population.
In this exercise, the calculation starts with finding the percentage of men who reach or exceed a height of 1.83 meters. This requires calculating 14.5% of the total male population.
To compute this, multiply the total number of males by the percentage, expressed as a decimal—effectively 14.5 divided by 100. By executing this calculation:

• We multiply 162,732,000 (the male population) by 0.145 (the percentage in decimal form).
• Through this, we derive the value of 23,596,140, representing the number of men in this height range.

Understanding these computations lets you translate percentages into real numbers, making statistical data applications more tangible and relatable.

Guiding Principles of Data Interpretation

Data interpretation transforms numerical findings into practical, insight-driven conclusions. The process requires you to understand what the numbers indicate about the real world.
When interpreting data, such as the height statistics from our exercise, the goal is to make sense of the statistic within a broader societal context.
The figure 23,596,140 quantifies how many males in the United States meet or exceed a given height, providing insight into trends or patterns in physical characteristics. Key elements of effective data interpretation include:

• Identifying what the result reveals about the studied population.
• Assessing how these insights could be applied—for instance, considerations for industries such as clothing or ergonomics, where size and fit matter.
• Communicating findings clearly and accurately to guide informed decision-making.

Thus, data interpretation is essential in applying statistical results to real-life situations, ensuring data-driven strategies and practices are formed based on accurate metrics.