Understanding Histograms

I found that many students as well as parents are scared of statistics. As we know histograms is a part of statistics. More over histograms is not frequently studied by students still it is used in wide range of fields. You can say that it is a part of collection of science. Basically histograms is an area diagram. The general mathematical definition of histograms is known as two dimensional frequency density diagram. There are generally 5 types of histograms depending on distributions.



There are some steps which need to follow while constructing a histograms.

1) Take x-axis and y-axis and mark x-axis as class intervals and y-axis as frequencies.

2) If class intervals are given in inclusive form then convert to the exclusive form Because class intervals can not be in inclusive form.

3) Now draw rectangles between class intervals base and corresponding heights of frequencies.

4) As we know the class intervals are on x-axis and frequencies are on y-axis the rectangles will be constructed on each class interval.

5) The height of rectangle is proportional to corresponding frequency if the intervals are equal.

6) The area of rectangle is proportional to corresponding frequency if the intervals are unequal.

Always keep that in mind the histogram is different from bar graph. Bar graph is one dimensional and histogram is two dimensional.

Understanding Histogram is step by step method. Hope the above basic concepts of histogram helps you.

5 Important Hints To Calculate Correlation

It is saying that to understand God's thoughts we must study statistics; they are the measure of his purpose. More over the correlation is one of the methods of statistics which used between two continuous variables. The correlation is a very simple method to interpret the possible linear association. As we know that all the methods can be misused at some aspects similarly correlation can also be misused by some researchers. It has many uses in medical research. In this article we will be highlighting uses and calculation hints of correlation.

1) The very first thing to understate in correlation is its definition. Many students fail to understand the definition. “Correlation is a method of assessing a possible two-way linear association between two continuous variables”. It is also called correlation coefficients is statistics.

2) There are two types of correlation coefficients. First is “Pearson's product moment correlation coefficient” and second is “Spearman's rank correlation coefficient”. Some more other types of correlation are used depends on variables being studied.

3) When the values increase together the correlation is positive otherwise correlation is negative when any one value decreases. For zero value correlation doesn’t exist.

4) Correlation can work for curve data also but it can nicely calculate for straight line data. 

5) A correlation is not causation. It means that the correlation always supports that there could be any other reasons for good or bad correlation of data.

The above hints are helpful to calculate and to understate that the correlation coefficients are used in medical and pair of variables linear relations.  

Quick Steps To Understand Circle Properties

A circle is a two dimensional figure. In this figure all points are on the same distance from centre. The distance from centre to edge is called the radius of the circle. Diameter is the distance between two sides of the circle that goes through the centre.  Circle is one of the important figure of geometry. Circle has many simple properties which help us in many manner. Many geometry helper starts with circle, according to these mathematician circle is a very easy topic which can be understand in quick steps. Some quick steps are given below, which helps you to understand the circle.

Centre:

Centre of the circle is the point inside the circle, all other points of the circle are on same distance from the centre.

Radius:

The distance from centre to any point on the circle is called the radius of the circle. It is half of the diameter.

Diameter:

Diameter is the distance between two sides of the circle that goes through the centre. It is double of the radius.

Circumference:

All round distance of the circle is called circumference.

Area:

It is the region which is enclosed by the circle. Area of the circle is also called surface area of the circle.

Chord:

Chord is a line which link any two pints on circle.

Tangent:

Tangent of a circle is a line that touches the circle exactly at one point.

Secant:

Secant of a circle is a line that intersect the circle at two points.

These are the basic properties of the circle. To learn more about circle click here 

5 Quick Steps To Understand Algebra Expression

Algebra is known as another language of mathematics. It is the simplest language in mathematics, which is mostly used in real world situations. Almost all math tutors startup tutoring with algebra as it is a simplest form of mathematics. Algebra expressions are very important to understand.

Definition:

An algebra expression includes variables, constants and mathematical operations (plus, mines, etc). Algebra expressions are one or more algebraic terms in a phrase.

Below you can find 5 quick and easy ways to understand the algebra expressions.   

Step 1:

To understand an algebraic expression first understands the concepts of variable and constant. These two concepts are the base of the all algebra expressions.

“Letters like x, y, z and a, b, c represent variables in algebra expressions”.

“The terms in algebraic expression that contain only numbers are called constant”

Step 2:

Next important step is, understand the concept of co-efficient and number system. “The coefficients are the number of term with variables”.

For example: 2x^2+2y+7xy+6

Here the coefficient of the first term, second and third term are 2,2 and 7 respectably

Step 3:

An algebra expression can be in the form of words. Understand the translating word into algebra expressions. For examples plus sign (+) can we written in many word form like “the sum of, times, etc”. Learn algebra mathematics vocabulary before you start understanding algebra expressions.

Step 4:

Use P.E.M.D.A.S (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction) method to solve algebraic expressions.  

Step 5:

Combine all like terms “Like terms are those terms which contain the same powers of same variables. They can have different coefficients” and solve the expression.  

Follow these simple steps to understand the algebra expressions. To know more about it click here.   

5 Easy Steps To Understand Angles

The angle is one of the most important parts of mathematics. The angles are founded by kingdoms in Mercia. It plays an essential part in geometry. The concepts of geometry helps us to understand angles quickly.

Definition:

An angle is a geometric figure that has two arms and a common vertex.

There are quick 5 steps to understand angles in mathematics,

1: Learn types of the angles

The very initial steps to learn angles are understand the types of the angles. The basic angles in geometry are right angle, acute angle, obtuse angle, reflex angle, straight angle and so on.

2: Properties of angles

Each type of angle has some unique properties. Understand properties of the each angle. For examples, if the angle measure of any object is exactly 90 degrees, then it is said to be a right angle. An angle less than 90 degrees is called an acute angle.

3: Identify an angle

Learn identifying angles. An angle can be identified in two ways. First just by the vertex second the three points that define the angle followed by the angle symbol.  

4: Angles uses in real life

The most frequently used angles are 90 degrees and 180 degrees. Angles are used in construction, drafting, engineering, surveying, construction, navigation and much more.

5: Construction of angles

After understating the real life uses of angles, learn how to construct an angle. There are many way construct an angle. Practice construction of positive and negative angle.

Follow these five quick ways to understand the concepts of angles in mathematics. To know more about angle take geometry help.