What is 'Symmetrical Distribution'
Symmetrical distribution occurs when the values of variables occur at regular frequencies and the mean, median and mode occur at the same point. In graph form, symmetrical distribution often appears as a bell curve. If a line were drawn dissecting the middle of the graph, it would show two sides that mirror each other.
BREAKING DOWN 'Symmetrical Distribution'
Symmetrical distribution, commonly known as symmetric distribution or normal distribution, is typically unimodal, meaning it shows only one peak in graph form. Bimodal distribution is possible as well; this type of graph has two peaks and shows two bell curve shapes located side by side. Similar to a unimodal's appearance, the two sides of the graph mirror each other, but only the mean and median occur at the same point, i.e., the center of the graph. The modes occur at two points, i.e., the highest point in each of the two bell curve graphs.
Symmetric distributions can be multimodal as well, with multiple peaks as long as the two sides of the graph mirror each other. The tails of the bell curve are the portions of the graph to the right and left. The tails illustrate the skewness of the data set. In a symmetric distribution, the data set has zero skewness.
Symmetrical Distribution vs Asymmetrical Distribution
Opposite symmetrical distribution is asymmetrical distribution. A distribution is asymmetric if it is not symmetric with zero skewness; in other words, it does not skew. An asymmetric distribution is either leftskewed or rightskewed. A leftskewed distribution, what is known as a negative distribution, has a longer left tail. A rightskewed distribution, or a positively skewed distribution, has a longer right tail. Determining whether the mean is positive or negative is important when analyzing the skew of a data set because it affects data distribution analysis.
Skewness is often an important component of a trader’s analysis of a potential investment return. A symmetric distribution of returns is evenly distributed around the mean. An asymmetric distribution with a positive right skew indicates that historical returns that deviated from the mean were primarily concentrated on the bell curve’s left side. Conversely, a negative left skew shows historical returns deviating from the mean concentrated on the right side of the curve.
A common investment refrain is that past performance does not guarantee future results; however, past performance can illustrate patterns of return and provide insight for investors looking to make a decision about an investment.

Distribution
Distribution occurs when a mutual fund, company or retirement ... 
Distribution Yield
A distribution yield is a measurement of cash flow paid by an ... 
Symmetrical Triangle
A symmetrical triangle is a chart pattern characterized by two ... 
Mesokurtic
Mesokurtic is a statistical term describing the shape of a probability ... 
Kurtosis
Kurtosis is a statistical measure used to describe the distribution ... 
Capital Gains Distribution
Capital gains distribution occurs when a mutual fund manager ...

Investing
Most Common Probability Distributions
In this article, we'll go over a few of the most popular probability distributions and show you how to calculate them. 
Investing
Stock Market Risk: Wagging The Tails
The bell curve is an excellent way to evaluate stock market risk over the long term. 
Investing
Bet Smarter With the Monte Carlo Simulation
This technique can reduce uncertainty in estimating future outcomes. 
Financial Advisor
Tough Times: Should You Dip Into Your Qualified Plan?
401(k)s, pensions and profitsharing plans can be a source of cash, but there are consequences to this option. 
Financial Advisor
Combining Your Plan Assets? Not So Fast!
You might reduce the costs of maintaining more than one account, but you could also be forfeiting tax benefits. 
Trading
The Linear Regression of Time and Price
This investment strategy can help investors be successful by identifying price trends while eliminating human bias. 
Retirement
Multiple Accounts? Here's How to Calculate RMDs
Ever wondered how to calculate required minimum distributions from multiple accounts? Here's a quick primer.

How do financial markets exhibit asymmetric information?
Understand how financial markets exhibit asymmetric information and learn how asymmetric information by any party can result ... Read Answer >>