Let's analyze the question step-by-step to determine if the statement is true or false.
1. Understanding a Frequency Table:
- A frequency table summarizes data by showing how many times each value, or range of values, occurs.
2. Understanding a Histogram:
- A histogram is a graphical representation of a frequency table. It groups data into bins (intervals) and displays the number of data points that fall into each bin as bars. Histograms are particularly useful for showing the distribution of numerical data.
3. Given Data:
- The provided dataset consists of the 30 best lifetime baseball batting averages in ascending order:
```
0.329, 0.330, 0.331, 0.331, 0.333, 0.333, 0.333, 0.334, 0.334, 0.334,
0.336, 0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342,
0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366
```
4. Creating a Frequency Table:
- We can group the batting averages into bins and count the number of averages within each bin. The bins could be intervals like [0.329-0.332], [0.333-0.336], etc.
5. Suitable Graph for Frequency Table:
- A histogram is ideal for displaying the frequency distribution of numerical data, such as batting averages. It helps in visualizing the shape and distribution of data, showing the frequency of data points within specified ranges.
Given this analysis, we can conclude that the statement in the question, "A frequency table for these data can best be graphically displayed as a histogram," is true.
Therefore, the answer is:
○ A. True
