Which of the following is not true about histograms?
A) The bars must touch each other.
B) A histogram may be symmetric or skewed depending on the selection of bin width.
C) Each bin must have the same width.
D) Histograms may represent categorical data.
E) Histograms may have gaps or clusters
Pretty much, thanks
D) Histograms may represent categorical data.
To determine which statement is not true about histograms, we need to understand what a histogram is and its characteristics.
A histogram is a graphical representation of data, where data is divided into intervals called bins, and the frequency or count of data falling into each bin is represented by the height of bars. Here's how we can analyze each statement:
A) The bars must touch each other: This statement is true. In a histogram, the bars are drawn adjacent to each other without any spaces in between.
B) A histogram may be symmetric or skewed depending on the selection of bin width: This statement is true. The shape of a histogram can be symmetric (bell-shaped) or skewed (leaning towards one side), and it depends on how the data is distributed within the bins.
C) Each bin must have the same width: This statement is true. For a histogram to accurately represent the data, each bin should have an equal width. This ensures that all the data is incorporated correctly.
D) Histograms may represent categorical data: This statement is true. Initially, histograms were primarily used for representing continuous numerical data, but now they can also represent categorical or discrete data by grouping the categories into bins.
E) Histograms may have gaps or clusters: This statement is true. Histograms can have gaps or clusters depending on the frequency of data within each bin. Gaps may occur if there is no data falling into a particular bin, while clusters may arise if the data is concentrated in certain bins.
From the above analysis, statement A) "The bars must touch each other" is NOT true about histograms. So, the correct answer is A) The bars must touch each other.
Does this site say the same thing as your text?
https://statistics.laerd.com/statistical-guides/understanding-histograms.php