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To find mean for grouped data
There are three methods to find mean for a frequency distribution. (i) Direct method: where x is the mid-interval f is the frequency M is the mean (ii) Short-cut method: where A = assumed mean d = x - A (iii) Step-deviation method: where i = class size We illu..
Merits and Demerits of Mean Deviation
Merits: 1. Mean deviation is easy to calculate. This measure is simple to understand. 2. This can be calculated from any average. 3. It is less affected by extreme observations. Demerits: 1. This is mathematically incomplete because it ignores negat..
Endocrine Glands - Meaning and Types
A wide variety of physiological processes are carried out unconsciously by the endocrine system through chemical messengers called "hormones." The endocrine system is a collection of glands that produces these hormones, which are necessary for normal bodily functions. The hormones regulate metaboli..
Moment of Inertia and its Physical Meaning
Moment of Inertia and its Physical Meaning - Consider a rigid body rotating about a fixed axis AB. Consider a particle 'p' of mass 'm' rotating in a circle of radius 'r'. The total torque on all the forces acting on all the particles of the body is: whe..
Being Alive - What does it mean?
Living organisms, like any non-living matter, are composed of some basic elements. The same physical laws such as gravitation, magnetism, thermodynamics etc., also bind living organisms. Yet, living organisms differ from non-living in fundamental characteristics such as cellular organisation, nutri..
Endocrine Glands - Meaning and Types
A wide variety of physiological processes are carried out unconsciously by the endocrine system through chemical messengers called "hormones." The endocrine system is a collection of glands that produces these hormones, which are necessary for normal bodily functions. The hormones regulate me..
Dyes - Meaning and Characteristics
Colored substances used for dyeing fabrics are called dyes. A true dye must: Have a suitable color Be able to attach itself to the material from solution or be capable of being fixed on it Be fast to light and washing when fixed. For this it must be resistant to water, acid and alkali Graebe and Li..
Langrange's Mean Value Theorem
Let f be real valued function in [a,b] such that, 1. f is continuous in [a,b]. 2. f is differentiable in (a,b). ..
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