Math Problem Statement

Researcher made survey on 20 respondents and this is their numbers of responses 5 16 15 16 6 Calculate their percentage

Solution

To calculate the percentage of each response out of the total number of responses, follow these steps:

  1. Add up the total number of responses.
  2. Divide each response by the total number of responses.
  3. Multiply the result by 100 to get the percentage.

Let's perform these calculations:

  1. Total number of responses:

5+16+15+16+6=585 + 16 + 15 + 16 + 6 = 58

  1. Calculate the percentage for each response:
  • For 5 responses:

558×1008.62%\frac{5}{58} \times 100 \approx 8.62\%

  • For 16 responses:

1658×10027.59%\frac{16}{58} \times 100 \approx 27.59\%

  • For 15 responses:

1558×10025.86%\frac{15}{58} \times 100 \approx 25.86\%

  • For 16 responses (again):

1658×10027.59%\frac{16}{58} \times 100 \approx 27.59\%

  • For 6 responses:

658×10010.34%\frac{6}{58} \times 100 \approx 10.34\%

Summary of Percentages:

  • 5 responses: 8.62%
  • 16 responses: 27.59%
  • 15 responses: 25.86%
  • 16 responses: 27.59% (same as above)
  • 6 responses: 10.34%

Would you like more details or have any questions?

Here are some related questions to consider:

  1. How do we interpret percentages in surveys?
  2. What is the importance of rounding percentages in reporting survey results?
  3. How would percentages change if the total number of responses increased?
  4. What are some common methods to visualize survey response percentages?
  5. How can we calculate the mean and median of the given responses?

Tip: When analyzing survey data, always ensure your percentages add up to 100% for accuracy.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Basic Arithmetic

Formulas

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Theorems

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Suitable Grade Level

Grades 5-7