Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Define Relative Frequency
Relative frequency is a statistical measure that shows how often a particular value or category appears in a dataset, expressed as a proportion or percentage of the total number of observations.
Step 3:: Formula for Relative Frequency
\text{Relative Frequency} = \frac{\text{Number of times a specific value occurs}}{\text{Total number of observations}}
The formula for relative frequency is:
Step 4:: Example Calculation
\frac{15}{50} = 0.3 \text{ or } 30\%
Let's illustrate with an example: - Suppose in a survey of 50 people, 15 prefer coffee - Relative frequency of coffee preference would be:
Step 5:: Key Characteristics
- Relative frequency always ranges between 0 and 1 - Can be converted to a percentage by multiplying by 100 - Helps understand the proportion of data in each category
Final Answer
Relative frequency is calculated by dividing the number of times a specific value occurs by the total number of observations, typically expressed as a decimal or percentage.
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