Posts

Statistics: Mode

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Mode Welcome back friends, This is the second part of our statistics series. In First part, we have look all the three methods to find mean: Direct Method, Assumed Mean Method & Step Deviation Method. In this second part, we are going to study what is mode & how  to calculate it in an grouped data. What is Mode? According to Wikipedia, "The  mode  of a set of data values is the value that appears most often in the data set". For Ex, If we have a data set say S, such that S = {1,2,2,2,2,3,3,4,4,4,5,9,2,4} Now in order to find the mode, we will simply count the occurrences of each element. The element having highest frequency will be our mode. Element Frequency 1 1 2 5 3 2 4 4 5 1 9 1 Now from the table, it is clear that 2 occurs most often. Therefore, the mode of the data is 2. In the above case, the data is not so complex &am

Statistics: Mean

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Hello friends, I am going to start a new series of statistics. This is the first part of this series & it includes Calculation of Mean using various methods: Direct Method Assumed Mean Method Step Deviation Method As you all know, There are three measures of central tendencies, namely-Mean, Median, & Mode, which tries to describe the entire set of data. Mean: Mean is defined as the sum of all observations divided by Number of observations in a set. For grouped data, we use class intervals to represent the data. A class Interval consist of two values: Upper Limit & Lower Limit Calculation of Class Mark: Class Mark of a class interval can be calculated by dividing the sum of upper limit & lower limit by 2. 1. Direct Method: 2. Assumed Mean Method: 3. Step Deviation Method: Solved Numericals finding the mean using all the three methods in the lecture below: Google+:  https://plus.google.com/u/0/+ujjwalgoyall

Coordinate Geometry: Section Formula

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Hi Friends, This is the third part of the Coordinate Geometry series. The first part contains Distance Formula. The second part contains finding Area of triangle through coordinates of vertices of the triangle. .In this part, we are going to discuss about the section formula used to find the intersection point on a line which is divided in a given ratio. In the given Figure, the line joining the points (x1, y1) & (x2, y2) is divided by the point (x,y) in the ratio m:n. The coordinates of the point can be calculated by the section formula Video tutorial contain the solved examples, how it can be applied in various questions. Google+: https://plus.google.com/u/0/+ujjwalgoyallawlug26 Twitter Link: https://twitter.com/LearnWIthUjjwal Youtube Link: http://youtube.com/c/LearnWithUjjwal Facebook Link: https://www.facebook.com/learnWithUjjwal/ Github Link: https://github.com/learnWithUjjwal

Area of Triangle With Coordinates

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Hello friends, First part of this series is about Distance Formula which is used to find the distance between two points. Hope you all are doing great. Today we are going to calculate the area of triangle. You will be thinking what's big deal about that. Given the Height & Base of triangle, one can easily find the area. But what happens if you are given the coordinates of the vertices of the triangle instead of height & base. In this post, we are going to learn how to calculate the area of triangle with the coordinates of the vertices of triangle. But first, lets understand what edges & vertices mean? Vertices : The end points of the triangle are known as triangles. It can also be said that the endpoints of sides of triangle is known as vertices. Edges : The sides of the triangle are known as the edge of the triangle. The line connecting the vertices of the triangle (or any other polygon) is known as edge. In order to find the area of triangle in the

Coordinate Geometry: Distance Formula

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Hey friends, Today I am here to discuss something about Distance formula which is used to calculate the distance between two points or coordinates on the co-ordinate plane. Co-ordinate geometry is the study   where the position of point  is described using an ordered pair of numbers.   Such ordered pair looks something like (x, y), where x is the distance on x-axis of the coordinate plane & y is the distance on y-axis of the coordinate plane. where, x1: x coordinate of first point x2: x coordinate of second point y1: y coordinate of first point y2: y coordinate of second point D: Perpendicular distance between the two points. Watch the video for solved numericals based on Distance formula. I hope you will like it. Google+: https://plus.google.com/u/0/+ujjwalgoyallawlug26 Twitter Link: https://twitter.com/LearnWIthUjjwal Youtube Link: http://youtube.com/c/LearnWithUjjwal Facebook Link: https://www.facebook.com/learnWithUjjwal/ Github Link: ht

Trigonometry

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Hello friends, I am writing this post for all the students who want to learn trigonometry, especially for CBSE Boards students. It has been a rumour that Trigonometry is very difficult. One has to remember so many formulas and trigonometric value to solve the questions. This is totally a myth. The fact is that this branch of mathematics is the easiest branch of mathematics. The difficulty which is faced by the students is in Ex. 8.4 of Ch-8 Class-X where the students have to prove the identities with the basic trigonometric identities.Since Boards are very near, I have prepared the Video lectures for the entire Ex. 8.4 which will help all the students. Before that, I have also prepared some lecture on basic Trigonometry which will work as the revision for all the students. Lecture 1: Basic Trigonometric Ratios in terms of Perpendicular, Base & Hypotenuse... Lecture 2: Trick to remember the complete trigonometric value table Lecture 3: Basic Trigonometric I