位置17的问题 The sum of the relative frequencies for all classes will always equal _____.the sample sizethe number of classes1001

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BlackTom AI · Accepted Answer

Question restatement: The problem asks what the sum of the relative frequencies for all classes will always equal. Options provided: the sample size, the number of classes, 100, and 1.
First option: 'the sample size' would refer to the total count of observations, not to a probability-like measure. Relative frequencies are not expected to sum to a sample size, so this is incorrect.
Second option: 'the number of classes' would be a count of categories, not a probability total. Relative frequencies are proportions, not a count of categories, so this choice is incorrect.
Third option: '100' implies a fixed numeric total, which would only be true in a contrived encoding of data, not generally for relative frequencies. In standard statistics, relative frequencies are ratios that sum to 1, regardless of how many classes there are.
Fourth option: '1' correctly expresses the fundamental property of relative frequencies: when you sum the proportions across all classes, the total probability mass equals 1. This reflects that all possible outcomes are accounted for and their probabilities add up to certainty.
A helpful way to see this is to consider that relative frequency of a class is (frequency of that class) divided by (total sample size). Summing across all classes yields (sum of all frequencies) / (total sample size) = (total frequencies) / (total sample size) = 1, by definition, since the sum of all class frequencies equals the total number of observations.
In summary, the only option that aligns with the defining property of relative frequencies summing to a whole is the value '1'; the other choices misinterpret what relative frequencies represent or tie them to counts rather than proportions.

位置17的问题 The sum of the relative frequencies for all classes will always equal _____.the sample sizethe number of classes1001

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