Question

Which of the following statements outlines a similarity between a histogram and a frequency distribution?

1) Both graph types have groups of numbers, called bins, along the y-axis.
2) Both graph types often display a smooth curve.
3) Both graph types show how likely every possible outcome of an event is to occur.
4) Both graph types plot frequency through the height of each point on the graph.

Answer 1

The primary similarity between a histogram and a frequency distribution is that they both use the height of bars or numerical values to indicate the frequency of data occurrences within the dataset.

Step-by-step explanation:

The similarity between a histogram and a frequency distribution is that both graph types plot frequency through the height of each point on the graph. A histogram is made up of contiguous bars whereas a frequency distribution typically utilizes a table to show how often each value or group of values occurs within a dataset.

In a histogram, the x-axis usually represents the data in intervals or categories, while the y-axis represents the frequency of the data points. Each bar on a histogram represents an interval of data with the height indicating the frequency of data within that interval. It's important to note that histograms are ideal for displaying large data sets and they demonstrate the shape of the distribution which could be normal, skewed, or otherwise.

On the other hand, a frequency table lists each group of data values along with their corresponding frequencies, providing a convenient overview of the data's distribution without the use of graphical elements like bars or lines.