Which of the following is a primary benefit of representing data sets using $\mathrm{frequency} \mathrm{distributions}$?

• A. They increase the amount of raw data available for analysis.
• B. They make it easier to identify patterns and trends in the data.
• C. They eliminate all outliers from the $\mathrm{data} \mathrm{set}$.
• D. They guarantee that the data is $\mathrm{normally} \mathrm{distributed}$.

Answer: (B)

Verified step by step guidance

1. Understand what a frequency distribution is: it is a way to organize raw data by grouping values into classes or categories and showing how often each value or group occurs.
2. Recognize that frequency distributions summarize large data sets, making the data more manageable and easier to interpret.
3. Consider the options given and evaluate them based on the purpose of frequency distributions:
4. - Frequency distributions do not increase the amount of raw data; they organize existing data.
5. - They do not eliminate outliers or guarantee any specific distribution shape like normality.
6. - Their main benefit is that they help reveal patterns and trends by showing the frequency of data points in each category.