In any frequency distribution, the sum of all the frequencies is always equal to 1 or 100%.Group of answer choicesTrueFalse PreviousNext

Answer

The statement is False.

In a frequency distribution, the sum of all the frequencies is not always equal to 1 or 100%. Frequency distributions can be represented in terms of absolute frequencies or relative frequencies.

1. Absolute Frequencies: When we talk about absolute frequencies, these are just counts of occurrences within each category. The total of absolute frequencies represents the total number of observations in the data set. For example, if we have 100 observations distributed across various categories, the total of these frequencies will equal 100.

2. Relative Frequencies: Relative frequencies, on the other hand, express each frequency as a fraction of the total number of observations. In this case, when you sum all the relative frequencies, they will equal 1 (or 100% when expressed as a percentage).

Thus, it is important to differentiate between absolute and relative frequencies when discussing a frequency distribution. The total frequencies will always sum to the total number of observations when expressed in counts, but they will only sum to 1 (or 100%) when expressed in relative terms.