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

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

Key Concepts

Relation Between Histogram and Cumulative Plot

The relationship between a histogram and its cumulative relative frequency plot is based on the aggregation of data counts. The shape of the cumulative plot is determined by the heights of the histogram bars, with steeper sections indicating a higher concentration of data in corresponding intervals, and flatter sections indicating fewer data points.

Cumulative Relative Frequency Plot

A cumulative relative frequency plot is a graph that shows the accumulation of relative frequencies up to a given value. Starting at 0 and rising to 1 (or 100%), the plot provides a running total of data points as one moves along the range of the variable, helping to understand percentiles and the overall distribution trend.

Histogram

A histogram is a graphical representation of data distribution in which the data is grouped into continuous intervals called bins, and the frequency or relative frequency of data points in each bin is represented by the height of a bar. It helps visualize the underlying distribution of data and identify patterns such as skewness, modality, and spread.

Relative Frequency

Relative frequency represents the proportion of the total number of observations that fall within each bin of a histogram. It is calculated by dividing the frequency for a bin by the total number of observations, enabling comparison across datasets and providing insights into the likelihood of outcomes in the data.

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