Mean Deviation about the Median and Mean Deviation from the Mean Mean Deviation about the Median: To find the mean deviation about the median we have to find the median of the given discrete frequency distribution. After arranging the observations in either ascending order, we shall find the sum of the frequency ∑fᵢ = Read more about Mean Deviation about the Median and Mean Deviation from the Mean[…]
Electrical Conductors Conductors are materials that allow free flow of electrons from one particle to another. These are elements which have electric charges in the form of electrons that are comparatively free to move inside the material. When charge is transferred to such an element, it gets distributed across the entire surface of the object, Read more about Electrical Conductors[…]
Collisions Collision is an event that demands involvement and interaction of at least two objects. In course of occurrence of such event interaction amongst object occur and each object experiences impulsive forces – a force which occur for a very small duration, from other. This impulsive force is responsible for change in momentum of the object Read more about Collisions[…]
Applications of Binomial Theorem (i) R-F Factor Relation: Here, we are going to discuss problems involving (√A + B)ⁿ = I + f, where I and n are positive integers. 0 ≤ f ≤ 1, |A – B²|= k and |√A+B|< 1. Approach for these types of problems can be learnt from following examples. Example: Read more about Applications of Binomial Theorem[…]
Electric Current Electric current is one of the most basic units within electrical and electronic science. Electric current is central to almost every element within electrical and electronic circuits, systems and design. Whether it is an electrical heater, a large electrical grid system, a mobile phone, computer, remote sensor node or whatever, the concept of Read more about Electric Current[…]
Intermediate Value Theorem Suppose that f(x) is continuous on [a, b] and let M be any number between f (a) and f (b). Then there exists a number C such that. a < c < b f (c) = M All the intermediate value theorem is really saying is that a continuous functions will take Read more about Intermediate Value Theorem[…]
Centripetal Force When an object travels in a circle, even at constant speed, it is undergoing acceleration. In this case the acceleration acts not to increase or decrease the magnitude of the velocity vector, but rather to change its direction. Newton’s second Law tells us that in the absence of any outside Force, an object Read more about Centripetal Force[…]
Squeeze Principle Assume that function f.g and h satisfy g(x) ≤ f (x) ≤ h (x) and then . Note: The quantity a may be a finite number +∞ or -∞. The quantity L may be finite number +∞ or -∞. The squeeze principle is used on limit problems where the useful algebraic methods (factoring conjugation, Read more about Squeeze Principle[…]
Centrifugal Force The concept of centrifugal force rarely comes with an instruction manual like the Coriolis force and the inertial force, centrifugal force belongs to the category of fictitious forces, also called apparent forces or pseudo-forces. What is Centrifugal Force? A force is any cause capable of changing the speed or trajectory of a mass. Read more about Centrifugal Force[…]
Mean Deviation for Grouped Data Mean Deviation about the Mean: Recall the arithmetic mean (x̄) of a discrete frequency distribution with n data points is obtained using the formula: x̄ = (ⁿ∑i=₁ xi fi)/ ⁿ∑i=₁ fi = (ⁿ∑i=₁ xi fi)/ N. Where, N = ⁿ∑i=₁ fi Now the mean deviation about the mean i.e., M.D Read more about Mean Deviation for Grouped Data[…]