Merits and Demerits of Mean Deviation
Merits: - Mean deviation is easy to calculate. This measure is simple to understand. This can be calculated from any average. Its value is based upon all the (observations) items of the data. It is less affected by extreme observations. It gives us an idea about how the items are situated in the ..
Discrete Variables
A discrete variable can assume only integral values which can be counted. Number of pupils in a school, persons working in a factory are examples of discrete variables. A list of some important terms is given below. (i) ungrouped data (ii) tabulation of data (iii) range (iv) frequency (v) frequenc..
Concepts of Ogive or S shaped curve
Introduction - The scientific methods of collection of data, its classification and application to commerce and everyday life is called statistics. A list of some important terms as follows: (i) ungrouped data (ii) tabulation of data (iii) range (iv) frequency (v) frequency distribution (..
Frequency Polygon
In a frequency distribution, the mid-value of each class is obtained. Then on the graph paper, the frequency is plotted against the corresponding mid-value. These points are joined by straight lines. These straight lines may be extended in both directions to meet the X - axis to for..
Example:
A random variable X has a Poisson distribution with parameter l such that P (X = 1) = (0.2) P (X = 2). Find P (X = 0..
Summary
There are two types of frequency distribution. (a) Inclusive (b) Exclusive In the inclusive type, the upper limit of one class does not coincide with the lower limit of the next class. In the exclusive type, the upper limit of one class coincides with the lower limit of the next class..
Summary
1. If x is a discrete random variable assuming the values x 1 , x 2 , x 3 ,.,x n with probabilities p 1 , p 2 , p 3 ,., p n respectively then (x 1 ,p 1 ), (x 2 , p 2 ),(x n , p n ) defines a probability distribution of X. 2. Let n independent bernoulli tr..
Summary
1. The Arithmetic mean is obtained by dividing the sum of all the items in the list by the total number of items. 2. There are three methods to find mean for a frequency distribution. (i) Direct method, (ii) Short-cut method, (iii) Step-deviation method...
Summary
1. Inclusive type of frequency distribution can be converted into exclusive type by extending the class limits by 0.5. 2. Class width is the difference between the actual limits of any class. 3. Class mark is the mid point of each interval...
Non-convex Sets
We know that the feasible solution of an LPP is a set. This set (If it is finite non-empty) is convex for any L.P.P. There are four types of feasible region normally we g..
We know that the feasible solution of an LPP is a set. This set (If it is finite non-empty) is convex for any L.P.P. There are four types of feasible region normally we g.. Result
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