Statistics ( central tendency / average)

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1. Statistics Central Tendency / Average

2. Introduction Collection of data and organising them in a proper format and style in table, diagrams and graphs etc. dose not provide sound workable concuesions and end desired information and its creates confusion , thus it becomes essential to present the collected data in some condensed from so as to make them under table comparable and worthy of scientific treatment. For this purpose a central value , which represent the whole mass of data is worked out. This value is called central tendency or average the value of an average has a tendency towards centralization. It is the reason some time it called central tendency and some times average.

3. Definition “ A measure of central Tendency is typical value round which other figures congregate” BY Sinepson and kafka .

4. Objective, Purpose And Function Of Average The average is a single value which represents a group of value and hence represents the entires data the main objective, purpose and function of average are as follows:- Determines living standard. Helpful in comparision . Brief Description. Helpful in formulation of policies. Replies of the universe. Tracing of functional relationship.

5. Ideals Or Essentials Or Characterics Of Good Average An Average should Posses the following properties Should be righty define. Based on all observation. Easy to understand. Easy to complete. Heast effected by fluctuation of sampling. Capable of further Alegbric of (sampling) treatment. Not unduly affected by extreme items. Can be locate graphically. Capable of being used in further statistical compation .

6. Type Of Statistical Average The Types of statistical average can be explained in this manner. Types of Average Mathematical Average Positional Average Commercial Average

7. Positional Average Introduction:- The other measures of average is called positional average. It determines the position or place central value in the series or group of data, positional average has two important types of average and they are:- Median (M) Mode (Z)

8. Median (M) Definition :- “The median is that the value of the variable which divided the group in two equal part, one part comprising all the value greater and the other all value less than median. ” By Connor.

9. Median (M) Merits It is an idle Average it is rightly defined. Easy do understand and calculate. It can be located by inspections. It is not influenced by the value of extreme items. It can be calculated even extreme not given but numbers given. Demerits It is not suitable when there is big variation in the items. Median is not suitable for further algebraic treatment. It is small effected by fluctuations of sampling . It is not easy to part items into either ascending or descending order.

10. Mode (Z) Definition:- Mode is value which has greater frequency as A.M tultle .

11. Mode (Z) Merits It is simple to calculate. It is commonly used in peoples day to day life. Mode can be expressed graphically. Mode can be used to describe quality of the value. Mode is not affected by value of extreme value. Demerits Mode can not determined always. It is not capable of algebraic treatment. Mode value is not bared on each and every item.

12. Thanks …….. By :- Riya Vashisht