# Difference Between Relative Frequency Histogram And Frequency Histogram

Introduction: Histograms are graphical representations of data that can be used to compare sets of numbers and find patterns in data. In this blog post, we will explore the differences between relative frequency histograms and frequency histograms, and how to determine which one is right for your data.

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## History and development: how the two terms evolved over time

The terms “relative frequency histogram” and “frequency histogram” are often used interchangeably, however they are actually two distinct concepts. A frequency histogram is a graph that displays the number of times a data element appears in a data set.

This is often depicted as a bar graph, with each bar representing a certain number of occurrences. On the other hand, a relative frequency histogram measures the proportion of data elements that appear in a data set. In other words, it displays the relative frequency of each data element as a percentage of the total number of elements.

While both types of histograms provide useful information, the relative frequency histogram is more useful for interpreting trends in data sets that are not evenly distributed.

## Key differences: outline of the fundamental distinctions between the two

When it comes to data analysis, understanding the difference between a relative frequency histogram and a frequency histogram is key. Both are used to represent statistical data, but there are some key distinctions between them. A frequency histogram is a graph used to represent the frequency of a certain set of data, with each bar representing the number of occurrences of a given value.

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On the other hand, a relative frequency histogram is a graph used to represent the relative frequency of a certain set of data, with each bar representing the relative frequency of each value compared to the total number of occurrences. The difference between these two graphs lies in the interpretation of the data: while a frequency histogram shows the absolute number of occurrences, a relative frequency histogram shows the relative frequency of occurrences compared to the total.

In other words, the relative frequency histogram takes into account the size of the sample, giving us a clearer picture of the distribution of the data.

## Examples: illustrative examples of both relative frequency histograms and frequency histograms

The main difference between a relative frequency histogram and a frequency histogram is that the relative frequency histogram shows the proportion of each data point compared to the entire set of data, while the frequency histogram simply shows the number of occurrences that each data point has. A relative frequency histogram, for example, might show that a certain data point appears in 10% of the data set, while a frequency histogram might show that the same data point appears 10 times out of 100 observations.

When it comes to understanding the distribution of data, relative frequency histograms and frequency histograms are two powerful tools. While both of them offer a visual representation of the data, there are some key differences between the two.

Relative frequency histograms take into account the total number of data points and use that to compare the relative frequencies of the different categories in the data. On the other hand, frequency histograms simply count the occurrences of the different categories without taking into account the total number of data points.

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This means that a frequency histogram can be used to compare the absolute frequencies of the different categories. While both of these approaches can be useful in understanding the distribution of data, it’s important to understand the differences between them to make the most informed decisions.