Statistical Description of DataPYQ Dec 23Question 2707 of 295
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In a frequency distribution, the relative frequency of the class is:

Options

AThe ratio of the class frequency to the total number of classes
BThe ratio of the class frequency to the total frequency
CThe ratio of the class frequency to the total number of data points
DThe ratio of the class mid point to the class frequency
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Correct Answer

✅ Option b — The ratio of the class frequency to the total frequency

All Options:

  • AThe ratio of the class frequency to the total number of classes
  • BThe ratio of the class frequency to the total frequency
  • CThe ratio of the class frequency to the total number of data points
  • DThe ratio of the class mid point to the class frequency

Detailed Solution & Explanation

The relative frequency of a class represents the proportion of the total number of observations that fall within that particular class interval. Mathematically, it is calculated as the ratio of the frequency of that specific class (class frequency, fi\displaystyle f_i) to the sum of the frequencies of all classes (total frequency, N\displaystyle N or ∑fi\displaystyle \sum f_i): Relative Frequency=Class FrequencyTotal Frequency\text{Relative Frequency} = \frac{\text{Class Frequency}}{\text{Total Frequency}} For example, if a class has a frequency of 15\displaystyle 15 and the total number of observations across all classes is 100\displaystyle 100, then the relative frequency of that class is 15100=0.15\displaystyle \frac{15}{100} = 0.15 (or 15%\displaystyle 15\%). This definition corresponds exactly to the statement in Option B. Hence, **Option B** is the correct answer.

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