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A Blank______ uses bars to display a frequency distribution for a quantitative variable.Multiple choice question.bar graphfrequency polygonpie charthistogram

Question

A Blank______ uses bars to display a frequency distribution for a quantitative variable.

Multiple choice question.

  • bar graph
  • frequency polygon
  • pie chart
  • histogram
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Solution

The correct answer is histogram.

Explanation

A histogram is a type of graphical representation that uses bars to show the frequency distribution of a quantitative variable. In a histogram, data is divided into intervals, known as bins, and the height of the bars represents the number of data points that fall within each interval. This allows for a visual interpretation of the distribution, helping to identify patterns such as skewness or modality (unimodal, bimodal, etc.) in the data set.

In contrast, a bar graph is typically used for categorical data, while a pie chart represents proportions of a whole. A frequency polygon uses line segments to connect points representing the frequencies of each bin but does not utilize bars.

Thus, in the context of displaying a frequency distribution for quantitative variables, the most appropriate term is histogram.

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