Question

1. a histogram graphically represents ______.

deviations
variables
frequencies
distributions

Explanation:

Analyze the definition of a histogram

A histogram is a graphical representation of a grouped frequency distribution with continuous classes. The heights of the bars represent the frequencies of the corresponding class intervals.

Evaluate the given options

• Deviations: Histograms do not directly represent deviations from a mean.
• Variables: While it plots a variable on the horizontal axis, it is not a representation of variables themselves.
• Frequencies: The primary purpose of the bars in a histogram is to show the frequency of data points within each interval.
• Distributions: A histogram represents the overall distribution, but specifically, it graphically represents frequencies across intervals. In standard statistical definitions, a histogram graphically represents frequencies.

Answer:

• Deviations
• Frequencies (Correct answer)
• Variables
• Distributions