normal distribution in statistics


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marksTally
The number which tells us how many times a particular data appears is called the frequency. For example, 2 marks have been scored by five students which means marks 2 occurs five times. Therefore, the frequency of score 2 is five. Similarly, the frequency of marks 5 is three because three stude..
Note 3:
Although the probability distribution of a continuous random variable cannot be presented in tabular form, it can have a formula in the form of a function represented by f(x) usually called the probability density functio..
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..
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 ..
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..
Other Applications
A travelling sales man can find the shortest routes to save time / fuel cost. The most economic and efficient manner of locating manufacturing plants and distribution centres may be used. Linear programming may be used for effective and efficient production management and manpower manage..
Note 1:
In the probability distribution of ..
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..
Mean
Mean is the arithmetic average. To find mean of ungrouped data and it is obtained by adding the raw scores and dividing the sum by the number of items. There are three methods to find mean for a frequency distribution. (i) Direct method, (ii) Short-cut method, (iii) Step..
Class
Inclusive type of frequency distribution can be converted into exclusive type as in Table (..
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