In drawing a histogram , which of the following suggestions should be followed?

Question

Answer

Introduction

When drawing a histogram, it is important to follow certain guidelines to ensure accuracy and clarity in representing data. Histograms are graphical representations of data that use bars to display the frequency or distribution of a set of numerical data. Following the suggested rules will help in creating an accurate and visually appealing histogram.

Guidelines for drawing a histogram:

1. Determine the appropriate number of intervals:

The first step in drawing a histogram is to determine the number of intervals, or bins, to divide the data into. This decision should be based on the range of the data values and the desired level of detail. Too few intervals may result in a loss of information, while too many intervals can make the histogram difficult to interpret.

2. Determine the interval width:

Once the number of intervals is determined, the next step is to calculate the interval width. This can be done by dividing the range of the data by the number of intervals. The interval width should be consistent for all intervals to maintain consistency in the representation of data.

3. Construct the vertical axis:

The vertical axis of the histogram represents the frequency or relative frequency of the data. It should be labeled appropriately, indicating the frequency or relative frequency scale. The scale should be evenly spaced and clearly marked to facilitate accurate interpretation of the data.

4. Construct the horizontal axis:

The horizontal axis of the histogram represents the data intervals. It should be labeled with the appropriate values or ranges of values. The intervals should be evenly spaced and clearly marked to aid in understanding the distribution of the data.

5. Draw the bars:

The bars in a histogram represent the frequency or relative frequency of each interval. The height of each bar corresponds to the frequency or relative frequency of the data within that interval. The bars should be equally spaced and have consistent width to maintain the accuracy and visual appeal of the histogram.

6. Provide a title and labels:

To enhance the clarity and understanding of the histogram, it is important to provide a title that accurately describes the data being represented. Additionally, labels should be provided for both the horizontal and vertical axes to clearly indicate the variables being measured and their units of measurement.

Conclusion

Following the suggested guidelines when drawing a histogram ensures accuracy, clarity, and visual appeal. By determining the appropriate number of intervals, calculating the interval width, constructing the vertical and horizontal axes, drawing the bars, and providing a title and labels, one can create an informative and visually appealing histogram to represent data effectively.

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