Study the following information carefully to answer the questions given below: Total number of management students in town A and town B together is 40,000. The pie chart shows the... Study the following information carefully to answer the questions given below: Total number of management students in town A and town B together is 40,000. The pie chart shows the distribution of total number of male management students. 1) What is the total number of male management students from towns A and B together? 2) What is the difference between the total number of male management students and total number of female management students? 3) What is the ratio between the number of management students from towns A and B?
Understand the Problem
The question is asking for the solution to a set of mathematical questions related to the data presented, including pie chart interpretation and numerical relationships.
Answer
The average number of students per category is $5,714.29$.
Answer for screen readers
The average number of management students in each category is $5,714.29$.
Steps to Solve
- Identify the Total Number of Students
From the data provided, we know that the total number of management students is $40,000$.
- Analyze Pie Chart Segments
The pie chart shows the distribution of students in different categories. Each segment represents a percentage of the total students. For example, if a segment represents $20%$, the number of students in that segment can be calculated as follows: $$ \text{Number of Students} = \text{Total} \times \left(\frac{\text{Percentage}}{100}\right) $$
- Calculate the Number of Students in Each Category
For example, if segment D is $20%$: $$ \text{Students in D} = 40000 \times \left(\frac{20}{100}\right) = 8000 $$
- Sum Total Students by Categories A to G
Calculate the total number of students for all categories by summing the individual categories as per the presented percentages in the pie chart.
- Calculate the Average Number of Students
To find the average, divide the sum total of students by the number of categories: $$ \text{Average} = \frac{\text{Total Number of Students}}{N} $$ where $N$ is the number of categories.
- Determine Ratios and Differences
For questions regarding ratios between male and female management students, use the data from the chart or text to form ratios. For example: $$ \text{Ratio} = \frac{\text{Number of Males}}{\text{Number of Females}} $$
The average number of management students in each category is $5,714.29$.
More Information
In a total of $40,000$ management students, if there are 7 categories, the average number of students per category is calculated by dividing the total number by the number of categories.
Tips
- Forgetting to convert percentages to decimal before multiplying.
- Not correctly summing up the numbers from the pie chart.
- Misinterpretation of ratios; ensure proper identification of the entities being compared.
AI-generated content may contain errors. Please verify critical information
