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folasade ogunyemi \( 01 / 27 / 259.28 \mathrm{AM} \) HW Score: 0\%, 0 of 10 points Qualitative Data Question 1, 2.1.2 Points: 0 of 1 Save A frequency distribution lists the number of occurrences of each category of data, while a relative frequency distribution lists the \( \square \) of occurrences of each category of data number proportion type

Ask by Vega Mcguire. in the United States
Jan 27,2025

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*A frequency distribution lists the number of occurrences of each category of data, while a relative frequency distribution lists the proportion of occurrences of each category of data.*

Solución

The correct answer to fill in the blank is **"proportion."** Here's the completed statement: *A frequency distribution lists the number of occurrences of each category of data, while a relative frequency distribution lists the **proportion** of occurrences of each category of data.* **Explanation:** - **Frequency Distribution:** This shows the **count** of occurrences for each category. For example, if you have survey data on favorite colors, a frequency distribution would tell you how many people chose each color. - **Relative Frequency Distribution:** This represents the **proportion** (or percentage) of the total for each category. Using the same example, it would show what fraction or percentage each color represents out of the total responses. **Example:** | Favorite Color | Frequency | Relative Frequency | |----------------|-----------|--------------------| | Red | 30 | 30% | | Blue | 50 | 50% | | Green | 20 | 20% | In this table: - **Frequency** shows the count of each color. - **Relative Frequency** shows the proportion each color represents out of 100%. So, **"proportion"** is the appropriate term to complete the statement regarding relative frequency distribution.

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Mind Expander

The relative frequency distribution gives you a proportion of occurrences, which helps to understand how each category compares to the whole dataset. For example, if you have 100 total observations and Category A occurs 25 times, the relative frequency for Category A is 0.25 or 25%. This representation makes it easier to visualize data trends and compare categories without getting lost in the absolute numbers. When creating frequency distributions, a common mistake is assuming that a relative frequency must always be a whole number or percentage. Remember, relative frequencies are fractions or decimals representing portions of the total and should always add up to 1 (or 100% when expressed as percentages). Keep this in mind to avoid setbacks in your data analysis!

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