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Which of the following statements about histograms is true?Group of answer choicesA histogram may be used as a graphical display of categorical data.A histogram generally has no gaps between rectangles, because it is a graphical display of a numerical variable and the horizontal axis follows a number scale.A histogram shows the cumulative relative frequency distribution.A histogram may be used as a graphical display of ordinal data

Question

Which of the following statements about histograms is true?Group of answer choicesA histogram may be used as a graphical display of categorical data.A histogram generally has no gaps between rectangles, because it is a graphical display of a numerical variable and the horizontal axis follows a number scale.A histogram shows the cumulative relative frequency distribution.A histogram may be used as a graphical display of ordinal data

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Solution

The true statement about histograms is: A histogram generally has no gaps between rectangles, because it is a graphical display of a numerical variable and the horizontal axis follows a number scale.

Here's a step-by-step explanation:

  1. A histogram is a graphical representation that organizes a group of data points into a specified range. It is an accurate method to visually inspect the data distribution patterns.

  2. Unlike bar charts that display categorical data with rectangular bars with lengths proportional to the values that they represent, histograms display numerical variables.

  3. In a histogram, the data is divided into a set of intervals (or bins) on the number scale, and the count of data points that fall into each interval is represented by the height of a rectangle over the interval.

  4. Because the data is numerical and continuous, the rectangles in a histogram touch each other. There are no gaps between rectangles (unless there is a class interval that contains no data).

  5. Therefore, the statement "A histogram generally has no gaps between rectangles, because it is a graphical display of a numerical variable and the horizontal axis follows a number scale" is true.

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Similar Questions

Although histograms and bar charts use a column-based display, they serve different purposes. A bar graph is used to compare discrete or categorical variables in a graphical format whereas a histogram depicts the frequency distribution of variables in a dataset.

Histograms can look like a bar chart, what’s the key difference? 1 pointHistograms use Axis Options to display different bin sizes.Bar charts use horizontal bars.Histograms use bins.Bar charts compare data and histograms display the distribution of data.

4. A histogram is a pictorial representation of the grouped data in which class intervals and frequency arerespectively taken along

Histograms can be drawn asSelect one:a.vertical and horizontal bar charts with gapsb.vertical bar charts with no gapsc.horizontal bar charts with gapsd.vertical bar charts with gaps

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