Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
Class boundaries ensure that consecutive bars of a histogram touch.

Verified step by step guidance

1. Understand the concept of class boundaries: Class boundaries are the values that separate classes in a frequency distribution. They are used to ensure there are no gaps between consecutive classes in a histogram.
2. Recall that in a histogram, the bars represent the frequency of data within each class interval. To make the bars touch, the upper boundary of one class must align with the lower boundary of the next class.
3. Analyze the given statement: 'Class boundaries ensure that consecutive bars of a histogram touch.' This statement is true because class boundaries are specifically designed to eliminate gaps between intervals.
4. If the statement were false, a corrected version would be: 'Class boundaries are used to eliminate gaps between class intervals, ensuring that consecutive bars of a histogram touch.'
5. Conclude that the statement is true as written, and no further rewriting is necessary.

Key Concepts

Class Boundaries

Class boundaries are the values that separate classes in a frequency distribution. They are used to define the intervals for grouping data points, ensuring that there are no gaps between the classes. For example, if one class is 10-20, the class boundary would be 20, which is the starting point of the next class.

Histograms

A histogram is a graphical representation of the distribution of numerical data, where data is grouped into bins or intervals. The height of each bar represents the frequency of data points within that interval. In a histogram, class boundaries are crucial because they determine where one bar ends and another begins, ensuring that the bars touch if the data is continuous.

Continuous Data

Continuous data refers to numerical data that can take any value within a given range. This type of data is often represented in histograms where the intervals are adjacent, reflecting the idea that there are no gaps between the values. When dealing with continuous data, it is essential for the bars in a histogram to touch, as this visually indicates the continuity of the data.