How to Make a Bar Graph

In mathematics, we will see different types of graph such as histogram graph, function graph. Here we will understand that How to Make a Bar Graph. Generally bar graph are used to categorized the different information, situations by taking bars in the graph. Bar graph is also called as bar charts. Here we need to follow some steps while constructing bar graph are given below:
Step 1: To plot a bar graph first of all we have to plot the axis in the graph. As we discuss above that two axis are there in a graph that is named as x – axis and y -  axis.
Step 2: Then after we have to select an appropriate scale and construct equal intervals.
Step 3: Now using the information of given data items label the horizontal axis.
Step 4: According to data items plot the bars.
Step 5: At last named the title of a graph.
Now we have to apply these steps in example.
 For example: Using the table mention below plot a bar chart.
Scores on the practice Test and the Test

Scores on the practice Test and the Test Student Practice Test Test
Hussen	60	70
Tomer	75	90
Marrine	55	55
Jiff	80

 Solution:
  First of all select or named the title from above mention table. As we see in the table that the title of above table is 'Score on practice Test and Test'. After that choose vertical bars. Here scores are different from one another mostly by 5, 10, 15 or 20. It means select a scale of 10.
 If we find any variation between scores then scores are like 1, 2, 3, 4, or 5, then it is better to select a scale of 1 or 2.
 After marking names on x – axis and scores on y – axis. Suppose if we decide to plot horizontal bars then put names on y – axis and scores on x – axis. At last plot the bars. Bar graph is shown below:

This is how we plot double bar graph using above steps. Now we will see Properties of Real Numbers.Commutative property of addition and commutative property of multiplication. for the prepration of 2013 board exam please prefer icse 2013 board papers.

equiangular triangle

In the previous post we have discussed about Define Equilateral Triangle and In today's session we are going to discuss about equiangular triangle. Hi friends, we will study different types of triangle such as equilateral triangle, isosceles triangle and so on. Here we will discuss one of the important triangle that is equiangular triangle. An equiangular triangle can be defined as a triangle such that the entire interior angles are of equal length and angle are of 60 degree.

The interior angles of an equiangular triangle always reach to 180 degree, and each angle of equilateral triangle is always third part of it. It means we can say that all the angles are of 60 degree. Let’s discuss some properties related to equiangular triangular.

Area – The area of equiangular triangle is given by:

Area = √3 / 4 s², here‘s’ denotes the length of any one side.

In case of equiangular triangle, the radius of a circle is just half of the radius of the circumference. Interior angles – 60 degree is the interior angles of an equiangular triangle. Perimeter – addition of the  entire sides of an equiangular triangle is perimeter.

Perimeter = s + t + u, here ‘s’, ‘t’, ‘u’ are the lengths of three sides of an equiangular triangle. Now we will discuss that how to find the area of equiangular triangle with the help of example: (know more about equiangular triangle, here)

Example: Find the area of equiangular triangle where the length of sides are 16, 16, 16 inch?

Solution: We know that the formula for finding the area of equiangular triangle is:

Area = √3 / 4 s²,

Given, length = 16 inch, put the value of all sides in a given formula:

 Area = √3 / 4 s²

Area = √3 / 4 (16)²,

Area = √3 / 4 (256),

Area = 256 √3 / 4,

So, the area of an equiangular triangle is 256 √3 / 4.

Same side Interior Angles can be defined as the angle pairs which are on inside of two lines and also on same side of traversal. icse guess papers 2013 is very helpful for exam point of view.

Define Equilateral Triangle

An equilateral triangle in the mathematics can be defined as the triangle which has all the 3 sides of the equal length. This is the general definition but in the traditional or we can say the Euclidean type of the geometry, the equilateral triangles are also those triangles which are equiangular which means that all the 3 internal angles of the triangle are congruent to each other like the 3 sides and each angle is equal to 60 degrees. The equilateral triangles are the regular polygons and thus they can also be known as the regular triangles.
According to the definition of the equilateral triangles we can derive many results. Suppose the length of each side of any equilateral triangle is l then we can derive various results for this triangle with the help of the Pythagorean theorem which may be given as follows. (know more about Equilateral Triangle, here)
The area of any triangle which is equilateral may be calculated by the formula A = ( √3/4 ) * l². The perimeter of any such triangle which is equilateral is equal to thrice the length of any side of the triangle that is P = 3l. Also the height or we can say the altitude from any side of the equilateral triangle is given by h = ( √3/2 ) * l. 
We can also derive some of the results for the inscribed and the circumscribed circles of the equilateral triangles. For example the radius of the circumscribed circle of any triangle which is equilateral may be given as R = ( √3/3 ) * l. Then the radius of the inscribed circle of any triangle which is equilateral may be given as r = ( √3/6 ) * l.
In order to get more help on the topics: Equilateral Triangle and Rutherford Atomic Theory you can visit our next article. CBSE Syllabus 2013 is designed in a manner to help students in learning important topics in a very simpler way.

Surface Area of Cube

In the previous post we have discussed about Volume of Cube and In today's session we are going to discuss about Surface Area of Cube. A solid object that has six equal square faces is said to be cube, its structure is just like a regular hexahedron. Let's see how to find the Surface Area of Cube formula? To find the surface area of a cube we need to follow some of the steps which are mention below:

Step 1: To find the Surface Area of Cube first it is necessary to have the length of one side of a cube. According to the definition of a cube all the sides of a cube are same, so the length of all the sides is also same. Suppose we have length of one side of a cube is 21 inch. Then find the surface area of a cube. The formula to find the surface area of a cube is given by:

surface area of a cube = 6a2, here 'a' denotes the side of a cube.

Step 2: if we put the value of the edges of a cube in the formula then we get the surface area of a cube. So on putting the value in the given formula.

surface area of a cube = 6a2, here the value of 'a' is 21 inch.

surface area of a cube = 6 (21)2,

surface area of a cube = 6 * 441, so the surface area of a cube is 2646 inch2.

Now we will discuss some parts of a cube. (know more about Cube, here)

Face – All the sides of a cube are said to be the faces of a cube because cube is has all the sides of equal length. A cube having six faces and all faces are square. All the faces of a cube have four equal sides and four equal interior angles.

Edge – A line segment that is obtained when two edges are meeting at a same point. 12 edges are present in a cube, as we know that cube has all the faces are congruent to each other and all the edges has same length.

Stoichiometry Problems is deals with the chemistry, it shows the quantitative relationship in between reactant and products. To prepare for the board exam please go through cbse latest sample papers.

Volume of Cube

In the previous post we have discussed about simplifying trig expressions and In today's session we are going to discuss about Volume of Cube.  Hi friends, there are different types of shapes like sphere, rectangle etc. Here we will discuss one of the important shape that is cube. Cube can be defined as a solid object or figure which has six square faces. All the angles and sides of a cube are same. Now we will see the Volume of Cube. Volume of a cube can be defined as the number of cubical units fill exactly in a cube. The formula to find the volume of a cube is given as:

Volume of a cube = s³, here 's' denotes the length of one edge of a cube.

Let's understand some steps to find the volume of a cube. (know more about Volume of Cube, here)

Step 1: To find the volume of a cube it is necessary to have the length of one edge of a cube. Suppose we have given the length of one edge of a cone is 7 inch, then find the volume of a cube.

Step 2: If we have the value of one edge of a cone then put the value in the formula to find the volume.

So, the volume of a cube = s³, given the value of s = 7 inch.

The volume of a cube = (7)³, we can also write it as:

Volume of a cube = 7 * 7 * 7;

Volume of a cube = 343 inch³.

So, here we get the volume of a cube is 343 inch³.

Now we will see some formulas based on the cube.

If we want to find the surface area of a cube then we use formula. To find the surface area of a cube the formula is given as:

Surface area of a cube = 6s², here 's' denotes the one side length of a cube.

Before entering in the examination hall please solve all the iit jee sample papers. It is very helpful for exam point of view. If we solve the Stoichiometry Practice Problems then we score good marks in exam.

simplifying trig expressions

In the previous post we have discussed about Measures of Central Tendency Definition and In today's session we are going to discuss about simplifying trig expressions. Trigonometry is deals with the branch of mathematics which is used to compare with the angles and sides of triangles. There are different types of expression and also there are different types of method to simplifying trig expressions. Here we need to follow some steps to solve the trigonometric expression.
Step 1: To solve the trigonometric expression first of all we have to take a trigonometry expression. Suppose we have a trigonometry expression as:
 Sec (⊼/ 2 – y) – tan (⊼/ 2 – y) sin (⊼/ 2 – y).
Step 2: Then we use corresponding identities of given trigonometry values. In this expression, in place of Sec (⊼/ 2 – y) we use cosec y, in place of tan (⊼/ 2 – y), we use cot y and in place of sin (⊼/ 2 – y). (know more about simplifying trig expressions, here)
⇨Sec (⊼/ 2 – y) – tan (⊼/ 2 – y) sin (⊼/ 2 – y),
So, using the above values we can write the trigonometry expression as:
= cosec y – cot y cos y, on moving ahead we can also write the expression as:
= cosec y – (cos y / sin y) cos y, (because cot y can also be written as cos y / sin y).
Step 3: Then multiply the value present in the parenthesis to the value present outside the parenthesis. So the above trigonometric expression we can write it as:
= cosec y – (cos y / sin y) cos y, on multiplying we get:
= cosec y – cos ² y / sin y,
We can also write the cosec y as 1 / sin y, so put this value in place of cosec y.
= 1 / sin y - cos ² y / sin y, here in this expression sin y is the LCM. So, taking LCM we get the next step of expression as:
= (1 - cos ² y) / sin y, we can also write the (1 - cos ² y) as sin ² y. So, we can write it as:
= sin ² y / sin y = sin y. This is how we can solve the trigonometric expression. There are different Types of Pollution in the environment. The iit entrance exam is applicable for iit colleges.

Measures of Central Tendency Definition

Central Tendency Measure: It is such type of measure which helps us in locating the middle of group of data .Its Common measure are mean, mode and median

Measures definition:
1.      Mean: It is the most commonly used measure where we sum all numbers from the group of data and divide it by the count of numbers in the data group. In simple terms we call it as average too.
2.      Mode: It is most frequently occurring value in the set of data .It can be unimodal or bimodal or multimodal. .Unimodal is that where group of data has one mode and bimodal it has two modes
3.      Median: This values is the numbers which lies in the middle of data set when the group of data is arranged in the series of either ascending or descending numbers .In the case of even count of numbers median is calculated by calculating the mean value of the two middle numbers .This value divides the data set exactly into half .We cannot calculate median for qualitative data set. It calculation is only possible after sorting of the data
Understand the measures of central tendency definition with help of this solved example
Example: Find the central tendency of the data
6, 1, 3, 2, 5, 6, 6, 6, 9?
Solution: First we will calculate the mean,
6+1+3+2+5+6+6+6+9/9,
= 4.88.
So mean is 4.88.
Now calculate median by arranging the data in ascending order
1 , 2 , 3 , 5 6 , 6 , 6 , 6 , 9
Now apply the formula as
= (n+1/2)th,
= 10/2th,
5th term.
5th term is 6 so median is 6. (know more about Measures of Central Tendency Definition, here)

Mode is the most frequently occurring term in the series,
Here ‘6’ is the most repetitive term so mode will be ‘6’.



Get all information on physics important topic like types of waves and get all cbse sample papers 12 class on various online educational portals and In the next session we will discuss about simplifying trig expressions.