A histogram is a show of statistical info that uses rectangles to show the occurrence of data items in sequential numerical intervals of equal size. In the most corporate form of histogram, the independent variable is plotted along the parallel axis and the dependent variable is plotted along the vertical axis.

## Histogram Exploration: -

In this course, we will restrict our analysis of histograms to replying the following six questions.

What is the extreme value?

What is the least value?

Where are, they located and how many peaks does the histogram have?

What is the common shape of the histogram?

Does the histogram have any gaps?  Where are, they located?

Does the histogram have any extreme values? Where are, they located?

A peak is a bar that is larger than the adjacent bars. If two or more adjacent bars have the same height but are bigger than the adjacent bars, they form a single top or plateau. A gap is a class or classes having occurrence zero, but with non-zero occurrence classes on both sides. Great values are data values which are disconnected from other data values by a gap at least two classes extensive.

In this class, you must always deliver the answers to the above questions in section form. The order of the questions is insignificant, but you should try to answer each question for every histogram you are analyzing. The following five examples are intended to give a common idea of how to do this.

## Example 1 This histogram has an extreme value of 3 and a least value of zero. It has one top among 0.5 and 1.0, and one gap between 2.0 and 2.5. There are no great values. The histogram is tilted right.

## Example 2 The overhead histogram is tilted left. It has two heights, between -36 and -26 and between -6 and 4. There are no gaps or great values. The least value is -36 and the extreme is 14.

## Example 3 The histogram overhead is tilted right. It has a huge gap among 4.72 and 5.36. The value among 5.36 and 5.68 is great. The extreme value is 5.68 and the least is 3.76.

## Example 4 The histogram of male pulse rates is bell-shaped with one top among 64 and 70. The least value is 46 and the extreme value is 82. There are no gaps or great values.

## Example 5 The histogram of earthquake depths is identical in shape. It has two heights, a plateau among 2 and 12, and another top among 17 and 22. There are no gaps or great values.

March 09, 2018