The height of a rectangle in a histogram shows

Options

A. frequency of the class
B. width of the class
C. upper limit of the class
D. lower limit of the class

Answer

To solve the question regarding what the height of a rectangle in a histogram represents, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Histogram**:
A histogram is a type of bar graph that represents the distribution of numerical data. It consists of rectangular bars where each bar's height corresponds to the frequency of data points within a specific interval.

**Hint**: Remember that a histogram is used for continuous data and shows how data is distributed across different ranges.

2. **Identifying Components of a Histogram**:
Each rectangle (or bar) in a histogram has two main components:
- **Width**: This represents the class interval (the range of values).
- **Height**: This represents the frequency of the data points that fall within that class interval.

**Hint**: Focus on the definition of width and height in the context of a histogram.

3. **Analyzing the Height of the Rectangle**:
The height of each rectangle indicates how many data points fall within the corresponding class interval. Therefore, the height is directly proportional to the frequency of the values in that interval.

**Hint**: Think about how the height reflects the number of occurrences of data within a specific range.

4. **Conclusion**:
Based on the understanding of histograms, we conclude that the height of a rectangle in a histogram shows the frequency of the class interval it represents.

**Hint**: Summarize your findings by stating the relationship between height and frequency.

### Final Answer:
The height of a rectangle in a histogram shows the frequency of the class interval.