**In representing simple frequency distributions of a discrete variable, both ogive and histogram are useful.**

**Ogive:**
- An ogive, also known as a cumulative frequency distribution, represents the cumulative frequencies of different values or groups of values in a dataset.
- It is a line graph that shows how many observations fall below a certain value or within a certain interval.
- The x-axis represents the values or intervals, while the y-axis represents the cumulative frequency.
- The ogive is particularly useful when we want to analyze the cumulative distribution of a dataset, such as finding percentiles or quartiles.
- By analyzing the shape of the ogive, we can understand the distribution of the data and identify any patterns or outliers.

**Histogram:**
- A histogram is a graphical representation of the frequency distribution of a dataset.
- It consists of a series of rectangles, where the width of each rectangle represents a class interval and the height represents the frequency or relative frequency of observations falling within that interval.
- The x-axis represents the intervals or categories, while the y-axis represents the frequency or relative frequency.
- Histograms are useful for visualizing the distribution of data and identifying patterns, trends, or outliers.
- They provide a clear visual representation of the shape, center, and spread of the data.
- Histograms are commonly used in various fields, such as statistics, finance, and research, to analyze and present data in a meaningful way.

**Both ogive and histogram are useful for different purposes:**
- The ogive is useful for analyzing the cumulative distribution and determining the proportion of data falling below a certain value or within a certain interval.
- The histogram, on the other hand, provides a visual representation of the frequency distribution and allows for a better understanding of the shape, center, and spread of the data.
- While the ogive focuses on cumulative frequencies, the histogram provides a detailed view of the individual frequencies or relative frequencies within each interval.
- Therefore, depending on the specific analysis or presentation needs, either ogive or histogram can be used to represent simple frequency distributions of a discrete variable.