Score: /1 Attempts: 30. For a perfectly symmetrical distribution, which relationship… For a perfectly symmetrical distribution, which relationship is always true? 9 Mean = median = mode Median= mode O Mean mode O Mean – median

For a perfectly symmetrical Distribution, the perfect relationship is

Mean = Median.

A symmetric distribution is when the values of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions. Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve.

A symmetric distribution can be contrasted with an asymmetric distribution. Asymmetric distributions are probability distributions that are skewed or otherwise irregular in shape.

The Properties of Symmetrical distribution is :

Mean.

Median

Mode.

Mean:

In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values (magnitude and sign) of a particular data set.

For datasets, the arithmetic mean, also called the “arithmetic mean“, is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, …, xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean is denoted by μ.

Median:

The median is the number in the middle of a sorted ascending or descending list of numbers that better describes the data set than the mean. This is the point above and below which half (50%) of the observed data lies, representing the midpoint of the data. Often compared to descriptive statistics.

perfectly symmetrical Distribution, the perfect relationship isMean = Median.symmetric distributionis when thevaluesof a variable occur with regularfrequency, often themean, median,andmodeall occurring at the same point. Alinein themiddleof the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions.Symmetric distributionis a central concept in technical trading as it assumes that the price movements of an asset over time follow asymmetric distribution curve.symmetric distributioncan be contrasted with an asymmetric distribution. Asymmetric distributions areprobability distributionsthat are skewed or otherwise irregular in shape.Mean:averageis used to summarize a particular group of data in order to better understand the overall values (magnitudeand sign) of a particulardata set.arithmetic mean“, is a measure of thecentral tendencyof afinite setof numbers. More specifically, the sum of the values divided by the number of values. Thearithmetic meanof a series of numbers x₁, x₂, …, xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from astatistical population. The arithmetic mean is the population mean is denoted by μ.Median:medianis thenumberin the middle of a sortedascendingordescendinglist of numbers that better describes thedata setthan the mean. This is the point above and below which half (50%) of theobserved datalies, representing themidpointof the data. Often compared to descriptive statistics.Symmetrical Distribution: