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When a dataset contains a large number of different scores spanning a broad range, it is often more effective to summarize the data using a grouped frequency table. Instead of listing individual scores, the first column displays ranges of values (typically between $$5$$ and $$15$$ equal-width intervals), and the second column shows the frequency of scores falling into each of those ranges.

Grouped Frequency Table

A grouped frequency table can be used to illustrate a hypothetical distribution of simple reaction times for a sample of $$20$$ participants. Since reaction times encompass a wide range of continuous values, the first column lists ranges of equal width—specifically, intervals such as $$141$$ to $$160$$, $$161$$ to $$180$$, and up to $$241$$ to $$260$$ milliseconds. The second column displays the frequency of participants whose reaction times fall into each respective interval. For instance, the table shows that $$9$$ participants had reaction times in the $$181$$ to $$200$$ millisecond range, effectively summarizing the data into manageable groups.

Grouped Frequency Table of Reaction Times

When constructing a grouped frequency table to summarize a dataset with a broad range of scores, what information is typically displayed in the first column?

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