Which graph shows continuous frequency distribution –
**Core Concept**
The question is testing the understanding of frequency distribution, which is a graphical representation of how often each value in a dataset occurs. Continuous frequency distribution refers to a graph that displays the frequency of continuous data points.
**Why the Correct Answer is Right**
A continuous frequency distribution is typically represented by a **histogram**. A histogram is a type of bar graph that is used to display the distribution of continuous data. It consists of a series of vertical bars, where the width of each bar represents the range of values and the height represents the frequency of values within that range. The correct answer is a histogram because it is the only graph that accurately represents continuous frequency distribution.
**Why Each Wrong Option is Incorrect**
* **Option A:** This is a **bar graph**, which is used to compare categorical data. It does not display continuous data points, making it an incorrect choice.
* **Option B:** This is a **pie chart**, which is used to show how different categories contribute to a whole. It does not display frequency distribution, making it an incorrect choice.
* **Option C:** This is a **box-and-whisker plot**, which is used to display the distribution of a dataset, but it is not a continuous frequency distribution. It displays the median, quartiles, and outliers, making it an incorrect choice.
**Clinical Pearl / High-Yield Fact**
Remember, histograms are used to display continuous data, while bar graphs are used to compare categorical data.
**Correct Answer:** C. Box-and-whisker plot