Refer to the following five histograms: To which of the...

Refer to the following five histograms:
To which of the above cumulative relative frequency plots does the following histogram correspond?
(A) $\mathrm{A}$
(B) $\mathrm{B}$
(C) $\mathrm{C}$
(D) $\mathrm{D}$
(E) $\mathrm{E}$

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Key Concepts

Histogram

A histogram is a type of graph used to display the frequency distribution of a dataset. It uses adjacent bars where each bar represents the frequency (or relative frequency) of data points falling within a specific interval or bin. The height of each bar indicates how many observations fall into that interval, making it easier to see patterns such as central tendencies, spread, skewness, and any anomalies in the dataset.

Cumulative Relative Frequency Plot

A cumulative relative frequency plot is a graph that shows the running total of the relative frequencies for a dataset. Starting at zero, the plot accumulates the frequency of each subsequent interval, gradually building up to a total value of one (or 100%). This type of plot is useful for understanding how data accumulates over an interval and determining percentile ranks and medians.

Data Distribution Analysis

Data distribution analysis involves interpreting the overall pattern and shape of a dataset as represented by graphs such as histograms or cumulative plots. It includes assessing the distribution's central tendency, dispersion, symmetry or skewness, and identifying any outliers. This analysis is crucial for selecting appropriate statistical methods and for making inferences about the population from which the data were drawn.

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