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Chapter 12: Problem 75

What is a symmetric histogram?

Short Answer

Expert verified
A symmetric histogram is a type of graphical representation where the two halves on either side of the center are mirror images of each other. It is also known as 'normal distribution'.

Step by step solution

01

Understanding Histograms

A histogram is basically a graphical representation that organizes a group of data points into a specified range. The graphic form is rectangular bars with lengths correspondent to the data points in the range. The data is grouped into ranges (like 'bins') and the height of the bars representing each group shows the number of data points in each range.
02

Symmetric Nature of Histograms

In terms of symmetry, a histogram is considered symmetric if when you draw a vertical line down the middle of the histogram, the two sides are mirror images of each other. This is also referred to as 'normal distribution'.
03

Example of a Symmetric Histogram

An example of a symmetric histogram could be when observing heights of a certain group of people. If most people are of average height, and fewer people are either very tall or very short, the histogram showing the frequency of each height could well be symmetric - with the higher bars (representing more people) towards the center (average) and lower bars (representing fewer people) progressively appearing as you move away from the center towards either extreme, in a mirror image fashion.

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