The correct answer is:
D) Histograms may represent categorical data.
Explanation:
Histograms are used to represent quantitative data. As such, it does not represent categorical data.
The bars of a histogram should be equal width to accurately display the data.
Histograms may be skewed or symmetrical depending on the data.
If one particular bar has no data in it, there may be gaps in the histogram. There may also be clusters, dependent on the data.
We generally draw the bars of a histogram as touching, to illustrate that the data is not discrete but instead continuous.
We want to see which statements are false regarding histograms.
The option that is not true is:
A) The bars must touch each other.
To see it, let's analyze each statement.
A) "The bars must touch each other."
This is false, they can touch each other, but not must.
B) "A histogram may be symmetric or skewed depending on the selection of bin width."
True, taking a really large bin width my remove some small asymmetries.
C) " Each bin must have the same width."
True.
D) "Histograms may represent categorical data."
True, you can represent categorical data with a histogram.
E) "Histograms may have gaps or clusters."
True.
So the only one that is not true is the first one:
A) The bars must touch each other.
If you want to learn more, you can read:
https://brainly.com/question/24188206
