Explanation:
A histogram is a graphical representation of the frequency distribution of a set of continuous data. The data is divided into intervals or classes, and each interval is represented by a rectangle. The height of each rectangle corresponds to the frequency or relative frequency of the data within that interval.

When we say that consecutive rectangles in a histogram have no space in between, it means that the rectangles are touching each other. In other words, there is no gap or space between adjacent rectangles.

This is true because a histogram is a continuous distribution of data, and the intervals or classes are contiguous. There are no gaps or spaces between adjacent intervals. Therefore, when we draw the rectangles to represent the intervals, they should be touching each other so that we can accurately represent the continuous nature of the data.

If there were gaps or spaces between the rectangles, it would imply that there were missing data points in between the intervals. This would not accurately reflect the nature of the data, and the histogram would not be a true representation of the distribution.

In conclusion, consecutive rectangles in a histogram have no space in between. This is true because a histogram represents a continuous distribution of data, and the intervals or classes are contiguous. The rectangles should be touching each other to accurately represent the continuous nature of the data.

Consecutive rectangles has no space between them in a histogram cause;
- Histogram is a graphical representation to find mode in continuous series.,in which "class boundaries" are used instead of limits..,which makes rectangles to touch each other.