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) $\mathrm{E}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Histogram

A histogram is a graphical tool that displays the distribution of a dataset by dividing the data into bins and using bars to represent the frequency of observations within each bin. It provides a visual summary of the shape, central tendency, and spread of the data.

Cumulative Relative Frequency Plot

A cumulative relative frequency plot, often called an ogive, represents the accumulation of the data's frequency in relative terms (i.e., percentages) as the data values increase. This plot helps in understanding the proportion of data that falls below a certain value and in identifying medians and percentiles.

Relation Between Histogram and Cumulative Plot

The cumulative relative frequency plot is directly related to the histogram because it represents the cumulative sum of the frequencies displayed in the histogram, scaled to reflect proportions of the total data. Changes in the steepness of the cumulative plot correspond to the concentrations of observations in the corresponding histogram bins, making it easier to cross-reference the distribution details of the histogram.

Transcript

Please give Ace some feedback