A survey was conducted to find the favorite beverage among young people. If 600 liked juice, determine the total number surveyed using a given pie chart.

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Points to Remember:

  • The question requires calculating the total number of people surveyed based on the percentage represented by those who liked juice (600 people).
  • A pie chart visually represents the proportion of different categories within a whole.
  • We need to identify the percentage of the pie chart representing those who liked juice to calculate the total.

Introduction:

This question involves interpreting data presented visually in a pie chart. Pie charts are commonly used to display the proportion of different categories within a dataset. In this case, the data shows the favorite beverages of a group of young people. We are given that 600 young people liked juice, and we need to determine the total number of young people surveyed using the information provided in the (missing) pie chart. Without the actual pie chart showing the percentage representing those who preferred juice, a precise calculation is impossible. However, we can outline the method to solve this problem once the percentage is known.

Body:

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Determining the Total Number Surveyed:

To determine the total number of young people surveyed, we need the following information from the pie chart:

  1. Percentage Representing Juice: The pie chart must show the percentage of the total representing the young people who chose juice as their favorite beverage. Let’s assume, for the sake of example, that the pie chart shows 25% of the respondents liked juice.

  2. Calculation: If 25% of the respondents (those who liked juice) represent 600 people, we can set up a simple proportion to find the total:

25% = 600 / Total Number Surveyed

Solving for the “Total Number Surveyed”:

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Total Number Surveyed = 600 / (25/100) = 600 * (100/25) = 2400

Therefore, if 25% of the respondents liked juice, the total number of young people surveyed would be 2400.

Different Scenarios and Calculations:

The calculation above is based on an assumed percentage. The actual percentage from the pie chart will determine the final answer. For example:

  • If the pie chart shows 30% liked juice: Total = 600 / (30/100) = 2000
  • If the pie chart shows 40% liked juice: Total = 600 / (40/100) = 1500
  • If the pie chart shows 15% liked juice: Total = 600 / (15/100) = 4000

Conclusion:

To accurately determine the total number of young people surveyed, the percentage of the pie chart representing those who liked juice is crucial. Once this percentage is identified, a simple proportion can be used to calculate the total. The examples provided demonstrate how the total number changes depending on the percentage. The absence of the pie chart prevents a definitive answer. To improve future surveys, ensuring clear and accurate visual representations of data, such as properly labeled pie charts, is essential for effective data interpretation and analysis. This will contribute to more robust and reliable conclusions drawn from such surveys, promoting better understanding of consumer preferences and market research.

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