What name is given to the type of graph that shows frequencies of data in various intervals?

The type of graph that shows frequencies of data in various intervals is called a histogram. A histogram is specifically designed to represent the distribution of numerical data, where the data is grouped into ranges, also known as bins or intervals. Each bin is represented by a bar, and the height of the bar indicates the frequency of data points within that interval.

In a histogram, the x-axis shows the intervals or ranges of the data, while the y-axis shows the frequency of observations that fall within each interval. This visual representation helps to understand the distribution, shape, and spread of the data quickly.

Unlike a bar graph, which is used to compare different categories or discrete values, a histogram is focused on continuous data and the distribution within specified intervals. Additionally, a line graph is primarily used to display data points in a time series or to show trends over intervals, rather than frequencies of ranges. A dot plot represents individual data points and is useful for small data sets, but it does not aggregate data into intervals for frequency analysis. Therefore, a histogram is the most appropriate choice for illustrating frequencies of data across various intervals.