When rectangles are drawn with the areas proportional to the frequencies of respective class intervals, what is the diagram called ?

Options

A. Bar graph
B. Frequency polygon
C. Pie graph
D. Histogram

Answer

To solve the question, "When rectangles are drawn with the areas proportional to the frequencies of respective class intervals, what is the diagram called?", we can follow these steps:

### Step 1: Understand the Concept of Frequency
Frequency refers to the number of times a particular value or range of values occurs in a dataset. In the context of class intervals, it indicates how many data points fall within each interval.

**Hint:** Think about how we represent data visually to show how often different ranges occur.

### Step 2: Identify the Representation of Data
When we want to represent data visually, we often use different types of graphs or charts. The question specifically mentions rectangles drawn with areas proportional to the frequencies.

**Hint:** Consider the types of graphs that use rectangles to represent data.

### Step 3: Analyze the Options
The options given are:
1. Bar graph
2. Frequency polygon
3. Pie chart
4. Histogram

We need to determine which of these uses rectangles with areas that correspond to the frequency of class intervals.

**Hint:** Recall the characteristics of each type of graph. Which one uses rectangles to represent frequencies?

### Step 4: Determine the Correct Answer
A histogram is a type of bar graph that specifically represents the frequency distribution of numerical data. In a histogram, the area of each rectangle (bar) is proportional to the frequency of the class interval it represents.

**Hint:** Remember that a histogram is used for continuous data and that the bars touch each other, unlike a bar graph.

### Conclusion
Based on the analysis, the correct answer to the question is **histogram**.

**Final Answer:** Histogram