Tuesday, February 26

How to Use Histograms

In statistics graphical representation of data by using bar graphs , histograms , frequency curves are important tools.

Introduction to how to use histograms:

Histograms is the method used in the analysis of graphical data. This is most widely applied in summarizing variables distributional information. Intervals or bins are the division of response variables, in equal size. The  occurrence number are calculated for each bin. Histograms is the composition of:  I like to share this Making Histograms with you all through my article.

Vertical axis = frequencies or relative frequencies.

Horizontal axis = response variable – refers to each intervals mid point.

The histogram is a visual representation of data , it shows the location of the measurement of data and how they are spread out.

It shows the highest frequency of the data by having a look at the highest rectangle.

The lengths of bases are same indicates that the class interval is same.

The data available in a table is not easy to interpret while the data on a histogram is easy. Comparing the data from two histograms is easier an less time consuming.

Tables of large sets of data make it complex to use while histograms are graphs , it is easier to organize and summarize using them.


Histograms:


Histogram are used for counting graphs  where number of pixels are calculated for each level between black and white. Black and white are on left and right side correspondingly. Depending on the number of bright pixels the height of graph varies. Lighter and darker images move the graph on right and left accordingly.I have recently faced lot of problem while learning Partial Fraction Example, But thank to online resources of math which helped me to learn myself easily on net.

Types of histograms


Histograms are classified into four types as follows:

1)      Histogram - absolute counts.

2)      Relative histogram - convert counts to proportions.

3)      Cumulative histogram.

4)      Cumulative relative histogram.


Uses of Histograms:


Calculate the range by finding the lowest and highest values from the given data.

Identify the number of bars that are to be used in histogram. The number of bars being used should not be too high or too low in order to provide the pattern in an effective way.

Width of each bar is calculated by dividing the range by the number of bars. Then, start with the low values, to determine the group of values to be contained or represented by each bar.

Compilation table is created, then filling the boundaries for each groups takes place.

Based on the data point counting the compilation table is filled for each bar. Total number of data points in each bar are also calculated.

Draw both the horizontal and vertical axes, and also perform labelling them

Draw in the bars to correspond with the total from the frequency table

The pattern of variation is identified and classified.

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