The sum of the relative frequencies for all classes will always equalGroup of answer choicesthe number of classesthe sample size100one

Final Answer

The sum of the relative frequencies for all classes will always equal 1 (or 100% when expressed in percentage).

Explanation

Relative frequency is a statistical measure that represents the proportion of observations within a particular class relative to the total observations in a dataset. When you calculate the relative frequency for each class, you divide the frequency of that class by the total sample size. The formula can be expressed as:

$\text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Total Sample Size}}$

When you sum up all the relative frequencies from all classes, mathematically expressed as:

$\sum \text{Relative Frequencies} = \sum \frac{\text{Frequency of each class}}{\text{Total Sample Size}} = \frac{\sum \text{Frequencies}}{\text{Total Sample Size}}$

Since the sum of the frequencies for all classes is equal to the total sample size, it leads to:

$\sum \text{Relative Frequencies} = \frac{\text{Total Sample Size}}{\text{Total Sample Size}} = 1$

Thus, regardless of the number of classes or the sample size, the sum of relative frequencies in any statistical distribution will always equal 1. This is a fundamental property of probability and is critical for making valid inferences from statistical data.