The pie chart shows the data from a survey conducted with 300 students in a school identifying their preferences among different subjects. Given specific values, calculate how many... The pie chart shows the data from a survey conducted with 300 students in a school identifying their preferences among different subjects. Given specific values, calculate how many students prefer each subject based on the percentages.
Understand the Problem
The question involves mathematical calculations related to statistics or probability, particularly concerning a pie chart representation and data from a survey of students across different schools. The calculations include percentages and potentially how many students belong to certain categories based on the provided equations and values.
Answer
The number of students preferring the two subjects is 195, while 105 prefer other subjects.
Answer for screen readers
The number of students preferring the two subjects is 195, and those preferring other subjects is 105.
Steps to Solve
-
Calculate the total percentage for the two subjects To find the contribution of the two subjects to the total, add their percentages. According to the notes, one subject is 36% and the other is 29%. [ \text{Total percentage} = 36% + 29% = 65% ]
-
Calculate the number of students preferring those subjects Using the total number of students (300), calculate how many students prefer the two subjects combined. [ \text{Number of students} = \left(\frac{65}{100}\right) \times 300 = 195 ]
-
Identify the remaining percentage and number of students To find out how many students prefer subjects other than the two considered: [ \text{Remaining percentage} = 100% - 65% = 35% ]
Then calculate the number of students for this remaining percentage: [ \text{Number of remaining students} = \left(\frac{35}{100}\right) \times 300 = 105 ]
- Verify totals Check if the calculated student numbers sum to the total:
- Students preferring the two subjects: 195
- Students preferring other subjects: 105 [ \text{Total} = 195 + 105 = 300 ]
The number of students preferring the two subjects is 195, and those preferring other subjects is 105.
More Information
The totals confirm that the calculations align with the survey data, providing insights into students' preferences. Understanding the composition of participant preferences can assist educators in curriculum development.
Tips
- Miscalculating percentages: Ensure to check each percentage calculation carefully, as small errors can lead to significant discrepancies.
- Forgetting to convert percentages to decimal form: Remember to divide the percentage by 100 when calculating an actual number from a percentage.
AI-generated content may contain errors. Please verify critical information
