Which method will appropriately display this data?
Histogram is the appropriate method to display this data.
A histogram effectively visualizes the distribution of numerical data by displaying the frequency of data points within specified ranges or bins, making it ideal for identifying patterns, trends, and the overall shape of the data distribution.
A box plot summarizes data through its quartiles, highlighting the median, upper, and lower quartiles along with potential outliers. While it provides a good overview of data spread and central tendency, it does not effectively convey the distribution of individual data points, making it less suitable for displaying raw data distributions.
A stem plot, or stem-and-leaf display, organizes data to show its shape while retaining the original values. However, it is more appropriate for smaller datasets, as it can become unwieldy with larger datasets. Therefore, it may not effectively represent the distribution of larger or more complex data sets compared to a histogram.
A pie chart is used to represent categorical data by showing the proportional sizes of categories relative to a whole. Since it does not display the distribution of numerical data or the frequency of values, it is not an appropriate choice for visualizing data that requires an understanding of frequency distribution.
In summary, a histogram is the most effective method for displaying numerical data distributions, as it clearly illustrates the frequency of data points across specified ranges. While box plots, stem plots, and pie charts serve specific purposes, they do not provide the same clarity in depicting the distribution of data as a histogram, making it the optimal choice for this task.
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