The graphic representation of frequency distribution with X and Y axis is:
**Core Concept**
The question is testing the student's knowledge of graphical representation methods in statistics. The correct answer is a type of graph used to display the distribution of a variable across different categories or ranges.
**Why the Correct Answer is Right**
A histogram is a graphical representation of frequency distribution, where the X-axis represents the different categories or ranges of a variable, and the Y-axis represents the frequency or count of observations within each category. The height of each bar in the histogram corresponds to the frequency of the observations in that category. Histograms are commonly used in various fields, including medicine, to visualize and understand the distribution of patient data, such as blood pressure or medication dosages.
**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not accurately describe a graphical representation of frequency distribution. While a bar graph can be used to display frequency data, it is not the most suitable option for representing the distribution of a variable across different categories.
**Option B:** This option is incorrect because it does not specifically describe a graphical representation of frequency distribution. A scatter plot is used to display the relationship between two variables, but it does not show the frequency of observations within each category.
**Option C:** This option is incorrect because it does not accurately describe a graphical representation of frequency distribution. A pie chart is used to display the proportion of different categories within a data set, but it does not show the distribution of a variable across different categories.
**Clinical Pearl / High-Yield Fact**
When interpreting graphical representations of frequency distribution, such as histograms, it is essential to consider the shape and skewness of the distribution. A normal distribution is symmetrical and bell-shaped, while a skewed distribution may indicate the presence of outliers or a non-random sample.
**Correct Answer: C. A histogram is a graphical representation of frequency distribution, where the X-axis represents the different categories or ranges of a variable, and the Y-axis represents the frequency or count of observations within each category.