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Which type of plot would be least likely to reveal that a distribution is bimodal?

a) Scatterplot
b) Boxplot
c) Histogram
d) Dotplot
e) Stemplot

1 Answer

2 votes

Final answer:

A boxplot is least likely to reveal a bimodal distribution because it does not show the frequency of data values, which can mask the presence of two modes in the distribution.

Step-by-step explanation:

The student has asked which type of plot would be least likely to reveal that a distribution is bimodal. Among the options, a boxplot would be the least likely to clearly show a bimodal distribution. This is because a boxplot summarizes a dataset with five summary statistics (the minimum, first quartile, median, third quartile, and maximum) and does not specifically highlight the frequency of data values within the dataset. Therefore, it may mask the presence of two peaks that a bimodal distribution would show.

In contrast, a histogram, dotplot, and stemplot would all show individual data points or the frequency of data values, making it easier to identify multiple modes within the data. A scatterplot is typically used for bivariate data and would not be appropriate for revealing the distribution of a univariate dataset.

User Bhaskar Kandiyal
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