COMPARISON OF MEASURES OF CENTRAL TENDENCY

CHAPTER ONE

BACKGROUND OF STUDY

In the study of statistics, descriptive statistics is one of the main area of statistics. It is concerned with the processing, summarizing, conclusions and presentation of qualitative and quantitative data. This area is limited to the data at hand no attempt is made to generalize when to begin courses in statistics with a discussion of so called descriptive statistics. That is, method of summarizing masses of numerical data, the graphical display of such data, procedures for ‘fitting’ data to theoretical model and so on. The aim of such procedures is that communicating, say to a colleague, the salient features of a set of numbers you have students. The assumption being that he does not want to be bothered with all facts which supports your conclusion, this is a laudable aim. In addition, most rules o descriptive statistics depend on what one want to do with ones data, few people collect data in order to summarize, that they collect data to support arguments, or they collect data to draw inferences from them. If follow that the detailed of descriptive statistics should come after the study of statistical inference. After you know the kind of interference you can make from set of data, then you will know what calculations to performs, it reduces data to some form, usually a number that is easily comprehended.

A critical statistical notion for learners is that of data set as an entity, in other words, developing a statistical perspective. Holding statistical perspective requires a focus on the data-set as a collective rather than focusing on individual data values. By focusing on comparing of measure of central tendency. Would be provided with a conceptual structure that facilitates a focus on aggregates. Measures of central tendency are a descriptive statistics. If the value arranged in order of magnitude, a typical value will lie in the central region. This accounts for the reason why the measure of location is sometimes referred to as the measure of central tendency.

BACKGROUND TO THE STUDY

Measures of central tendency is also called measures of location or average. An average is a value that is typical or representatives of a set of data. Since such typical values tend to lie centrally within a set of data arranged according to magnitude. Practically everyone have used the word ‘average’ at one time or the other. By average we usually mean the ‘normal position., for example it is a common knowledge that ‘average’ age for primary school is between five and six years. Employers and workers union often quote what each other consider to be the ‘average’ income of employees but with that of the employer usually higher than that of the union suggesting that the two parties are often speaking of two different average though generated from the same body of data. Because of the ambiguity and the confusion associated with the term ‘average’.

STATEMENT OF PROBLEMS

Measures of central tendency are usually seen as the easiest part of descriptive statistics because it deals with day-to-day events. Lack of attention to distributional features of data is apparent in the dominance of numerical methods for making data comparison. Selecting and collection of data and finding of average numbers is not difficult but using terms like houses (real object) and living things seems difficult. The increased focus on elementary level data analysis and statistics is evident in the proliferation of statistical ideal in people.