A frequency distribution lists the _____of occurrences of each category of data, while a relative frequency distribution lists the______of occurrences of each category of data.

Verified step by step guidance

1. Understand that a frequency distribution shows how many times each category or value occurs in a data set. This means it lists the actual counts or number of occurrences for each category.
2. Recognize that a relative frequency distribution shows the proportion or fraction of the total number of data points that fall into each category. It expresses the frequency as a part of the whole.
3. Recall the formula for relative frequency: \(\text{Relative Frequency} = \frac{\text{Frequency of a category}}{\text{Total number of data points}}\).
4. Note that the frequency distribution uses counts (whole numbers), while the relative frequency distribution uses ratios or percentages (values between 0 and 1 or 0% and 100%).
5. Summarize that the frequency distribution lists the counts of occurrences, and the relative frequency distribution lists the proportions or percentages of occurrences for each category.

Key Concepts

Frequency Distribution

A frequency distribution is a table that shows the number of times each category or value appears in a data set. It helps summarize and organize data by counting occurrences, making it easier to see patterns or trends.

Relative Frequency Distribution

A relative frequency distribution shows the proportion or percentage of the total number of data points that fall into each category. It is calculated by dividing the frequency of each category by the total number of observations.

Difference Between Frequency and Relative Frequency

While frequency counts the actual number of occurrences, relative frequency expresses these counts as fractions or percentages of the total data set. This distinction helps compare categories regardless of sample size.