This is not the document you are looking for? Use the search form below to find more!

Report

# Finding Mode

Document Description
In statistics, the mode is the value that occurs most frequently in a data set or a probability distribution. In some fields, notably education, sample data are often called scores, and the sample mode is known as the modal score. Like the statistical mean and median, the mode is a way of capturing important information about a random variable or a population in a single quantity. The mode is in general different from the mean and median, and may be very different for strongly skewed distributions. The mode is not necessarily unique, since the same maximum frequency may be attained at different values. The most ambiguous case occurs in uniform distributions, wherein all values are equally likely.
File Details
Submitter
Embed Code:

Related Documents

## Processing Mode Causally Influences Emotional Reactivity: Distinct Effects of Abstract Versus Concrete Construal on Emotional Response

by: shinta, 15 pages

Three studies are reported showing that emotional responses to stress can be modified by systematic prior practice in adopting particular processing modes. Participants were induced to think ...

## Speakers' choice of frame in binary choice: Effects of recommendation mode and option attractiveness

by: shinta, 13 pages

A distinction is proposed between recommending for preferred choice options and recommending against nonpreferred choice options. In binary choice, both recommendation modes are logically, ...

## Data Analysis: Range, Mean, Median, and Mode

by: samanta, 11 pages

This project is a lesson in the 6th grade math unit of data analysis. The goal of this project is for the students to understand the mathematical terms of mean, median, mode, and range; and be able ...

## THE MEAN, MEDIAN AND MODE OF UNIMODAL DISTRIBUTIONS: A CHARACTERIZATION

by: samanta, 23 pages

For a unimodal distribution on the Real line, the celebrated mean-median-mode inequality states that they often occur in an alphabetical (or its reverse) order. Various sufficient conditions for the ...

## INEQUALITIES ON THE MEAN, MEDIAN, MODE AND SKEWNESS

by: samanta, 15 pages

Many sufficient conditions for inequalities about the mean, median, mode and skewness have been obtained. Runnenburg gives a result and ...

## Audiovox CDM-4000 & CDM-4000XL Dual Mode Digital CDMA Telephone Owners Operating Manual

by: manualzon, 79 pages

audiovox mobile phone dual mode digital cdma, audiovox cdm-4000 and cdm-4000xl owners operating manual

## Killtest Data ONTAP 8.0 7-Mode Administrator NS0-154 Dumps

by: hopeyangmei, 6 pages

Killtest Data ONTAP 8.0 7-Mode Administrator NS0-154 Dumps

## Emmanuel AIM : Le vintage dans la mode d'aujourd'hui

by: melany1976, 1 pages

Emmanuel Aim, étudiant en stylisme, décortique ce qu'est la mode vintage. Style des années 70, redécouvrez le vintage plus que jamais à la mode cette année.

## depeche mode booklet digital bk

by: mine, 2 pages

depeche mode booklet digital bk

## FMEA - Failure Mode & Effects Analysis

by: fazila, 5 pages

FMEA - Failure Mode & Effects Analysis

Content Preview
Finding Mode
Finding Mode
In statistics, the mode is the value that occurs most frequently in a data set or a probability
distribution. In some fields, notably education, sample data are often called scores, and the
sample mode is known as the modal score.
Like the statistical mean and median, the mode is a way of capturing important
information about a random variable or a population in a single quantity.
The mode is in general different from the mean and median, and may be very
different for strongly skewed distributions.
The mode is not necessarily unique, since the same maximum frequency may be
attained at different values.
The most ambiguous case occurs in uniform distributions, wherein all values are
equally likely.
Know More About Pictures Of Bar Graphs

Math.Tutorvista.com
Page No. :- 1/4

The mode of a discrete probability distribution is the value x at which its probability
mass function takes its maximum value. In other words, it is the value that is most
likely to be sampled.
The mode of a continuous probability distribution is the value x at which its probability
density function attains its maximum value, so, informally speaking, the mode is at the
peak.
As noted above, the mode is not necessarily unique, since the probability mass
function or probability density function may achieve its maximum value at several
points x1, x2, etc.
The above definition tells us that only global maxima are modes. Slightly confusingly,
when a probability density function has multiple local maxima it is common to refer to
all of the local maxima as modes of the distribution. Such a continuous distribution is
called multimodal (as opposed to unimodal).
In symmetric unimodal distributions, such as the normal (or Gaussian) distribution
(the distribution whose density function, when graphed, gives the famous "bell
curve"), the mean (if defined), median and mode all coincide.
For samples, if it is known that they are drawn from a symmetric distribution, the
sample mean can be used as an estimate of the population mode.
Mode of a sample
The mode of a sample is the element that occurs most often in the collection. For
example, the mode of the sample [1, 3, 6, 6, 6, 6, 7, 7, 12, 12, 17] is 6.

Math.Tutorvista.com
Page No. :- 2/4

Given the list of data [1, 1, 2, 4, 4] the mode is not unique - the dataset may be said to
be bimodal, while a set with more than two modes may be described as multimodal.
For a sample from a continuous distribution, such as [0.935..., 1.211..., 2.430...,
3.668..., 3.874...], the concept is unusable in its raw form, since each value will occur
precisely once.
The usual practice is to discretize the data by assigning frequency values to intervals
of equal distance, as for making a histogram, effectively replacing the values by the
midpoints of the intervals they are assigned to.
The mode is then the value where the histogram reaches its peak. For small or
middle-sized samples the outcome of this procedure is sensitive to the choice of
interval width if chosen too narrow or too wide; typically one should have a sizable
fraction of the data concentrated in a relatively small number of intervals (5 to 10),
while the fraction of the data falling outside these intervals is also sizable.
An alternate approach is kernel density estimation, which essentially blurs point
samples to produce a continuous estimate of the probability density function which
can provide an estimate of the mode.

Math.Tutorvista.com
Page No. :- 4/4

ThankYou
Math.TutorVista.com

# Document Outline

• ﾿

Finding Mode

Share Finding Mode to:

example:

http://myblog.wordpress.com/
or
http://myblog.com/

Share Finding Mode as:

From:

To:

Share Finding Mode.

Enter two words as shown below. If you cannot read the words, click the refresh icon.

Share Finding Mode as:

Copy html code above and paste to your web page.