What is Mean

Let us understand What is Mean:Mean comes under the topic Statistics. It is classified as one of the measures of dispersion. The other methods that are used to calculate the mean deviation are range, quartile deviations, etc..While calculating range and quartile deviation, we wont consider all the collected data for calculation. But in the measure of dispersion called mean deviation, we consider all the observed values.Let us now look at a more specific explanation of Mean Deviation.The mean deviation of a statistical data is defined as the arithmetic mean of the numerical values of the deviations of items from some average value.Mean deviation is also known as average deviation.The mean deviation is generally denoted by mean symbol M.D.Hope you like the above example of Mean.Please leave your comments, if you have any doubts.

tangent of circle

Let us study about Tangent of Circle,
Tangent is a line which touches a circle at only one point. At the point of contact with the circle, tangent is at right angles to the radius of the circle. From any point outside a circle, the two tangent lines drawn to the circle is of equal length. Tangent to a circle is a straight line and it won't cross the circle-only touching the circle.

Explanation:

Tangent of a circle is the point where the tangent and the circle intersect with each other.

statistics help

Let us understand what is Statistics,
The science that deals with the collection, classification, analysis, and interpretation of numerical facts or data, and that, by use of mathematical theories of probability, imposes order and regularity on aggregates of more or less disparate elements.

Statistics is a discipline which is concerned with:

* designing experiments and other data collection,
* summarizing information to aid understanding,
* drawing conclusions from data, and
* estimating the present or predicting the future.

The two statements at the beginning illustrate some of these points.

In making predictions, Statistics uses the companion subject of Probability, which models chance mathematically and enables calculations of chance in complicated cases.
I hope the above explanation helped you, now let me explain about elementary statistics.

Least common multiple

Least common multiple :

The least common multiple (LCM) is the smallest multiple that is common to two or more numbers.

Example : What is the least common multiple of 2 and 3?

The smallest multiple common to both 2 and 3 is 6.

Example 2 : What is the least common multiple of 2, 3, and 4?
The least common multiple of 2, 3, and 4 is 12.

Types of Statistics

Let me explain about the types of statistics,
For many people, statistics means numbers—numerical facts, figures, or information. Reports of industry production, baseball batting averages, government deficits, and so forth, are often called statistics. To be precise, these numbers are descriptive statistics because they are numerical data that describe phenomena. Descriptive statistics are as simple as the number of children in each family along a city block or as complex as the annual report released from the U.S. Treasury Department.
Consider two ways of representing descriptive statistics: numerical and pictorial.

Numerical statistics :

Numerical statistics are numbers, but clearly, some numbers are more meaningful than others. For example, if you are offered a purchase price of $1 for an automobile on the condition that you also buy a second automobile, the price of the second automobile would be a major consideration (its price could be $1,000,000 or only $1,000), and thus, the average—or mean—of the two prices would be the important statistic.

Pictorial statistics :

Taking numerical data and presenting it in pictures or graphs is what is known as pictorial statistics. Showing data in the form of a graphic can make complex and confusing information appear more simple and straightforward.
Hope the above explanation was useful to you.

Graphing Linear Inequalities in Two Variables

Let me explain about Graphing Linear Inequalities in Two Variables,
A linear inequality in the two variables x and y looks like

where a, b, and c are constants.
A solution to an inequality is any pair of numbers x and y that satisfy the inequality.
The rules for finding the solution set of a linear inequality are much the same as those for finding the solution to a linear equation.

1. Add or subtract the same expression to both sides.
2. Multiply or divide both sides by the same nonzero quantity; if that quantity is negative, then the inequality must be reversed.

Hope the above explanation helped you.

Explain Mathematical induction

Let us study about mathematical induction,
Mathematical induction, or proof by induction, is a method of mathematical proof typically used to establish that a given statement is true for all natural numbers. It can also be used in more general settings as will be described below. An induction variant is used in computer science to prove that expressions which can be evaluated are equivalent, and this is known as structural induction.
The simplest and most common form of mathematical induction proves that a statement holds for all natural numbers n and consists of two steps:

Showing that the statement holds when n = 0.
Showing that if the statement holds for n = m, then the same statement also holds for n = m + 1.

To understand why the two steps are in fact sufficient, it is helpful to think of the domino effect: if you have a long row of dominos standing on end and you can be sure that
The first domino will fall.
Whenever a domino falls, its next neighbor will also fall.
then you can conclude that all dominos will fall.
Hope the above explanation was helpful.