A histogram is best described as:
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A. B. C. D.Explanation
A histogram is best described as a visual representation of a frequency distribution.
A histogram is a visual representation of a frequency distribution. It is used to display the distribution and shape of a set of continuous data. It consists of a series of adjacent bars that represent different intervals or "bins" into which the data is divided. The height of each bar corresponds to the frequency or number of observations within that interval.
The correct answer is D. a visual representation of a frequency distribution.
Let's break down the options:
A. a collection of frequency classes in which the raw data are arranged. This answer describes frequency classes, which are intervals or bins used in creating a histogram. However, it does not specifically mention the visual representation aspect of a histogram, so it is not the best description.
B. a bar chart of relative frequencies. This answer describes a bar chart that displays relative frequencies. While a histogram is similar to a bar chart, it specifically represents the distribution of continuous data, not just relative frequencies. So this answer is not the best description of a histogram.
C. a scatter plot of the raw data on the X-Y plane. A scatter plot is a different type of graph that displays the relationship between two variables, typically using dots on a Cartesian plane. It does not involve creating intervals or bins like a histogram does. Therefore, this answer is not an accurate description of a histogram.
D. a visual representation of a frequency distribution. This answer accurately describes a histogram. It emphasizes that a histogram visually represents the distribution of frequencies or counts of observations within different intervals or bins. The height of the bars in the histogram corresponds to the frequency of data falling within each interval. This is the best description of a histogram among the options provided.
In summary, a histogram is a visual representation of a frequency distribution. It displays the distribution and shape of a set of continuous data using adjacent bars that represent intervals or bins, with the height of each bar corresponding to the frequency of observations within that interval.