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where x is a data value and w is the weight assigned to that data value The sum is taken over all data values Weighted average xw w 82

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Measures of Central Tendency1.INTRODUCTION

In the previous chapter, you have read

about the tabular and graphicrepresentation of the data. In this chapter, you will study the measures of central tendency which is a numerical method to explain the data in brief. You can see examples of summarising a large set of data in day-to-day life, like average marks obtained by students of a class in a test, average rainfall in an area, average production in a factory, average income of persons living in a locality or working in a firm, etc.

Baiju is a farmer. He grows food

grains in his land in a village called

Balapur in Buxar district of Bihar. The

village consists of 50 small farmers.

Baiju has 1 acre of land. You are

interested in knowing the economic condition of small farmers of Balapur. You want to compare the economicCHAPTERStudying this chapter should enable you to: •understand the need for summarising a set of data by one single number; •recognise and distinguish between the different types of averages; •learn to compute different types of averages; •draw meaningful conclusions from a set of data; •develop an understanding of which type of average would be the most useful in a particular situation.

MEASURES OF CENTRAL TENDENCY59

condition of Baiju in Balapur village.

For this, you may have to evaluate the

size of his land holding, by comparing with the size of land holdings of other farmers of Balapur. You may like to see if the land owned by Baiju is -

1.above average in ordinary sense (see

the Arithmetic Mean)

2.above the size of what half the

farmers own (see the Median)

3.above what most of the farmers own

(see the Mode)

In order to evaluate Baiju's relative

economic condition, you will have to summarise the whole set of data of land holdings of the farmers of Balapur. This can be done by the use of central tendency, which summarises the data in a single value in such a way that this single value can represent the entire data. The measuring of central tendency is a way of summarising the data in the form of a typical or representative value.

There are several statistical

measures of central tendency or "averages". The three most commonlyquotesdbs_dbs3.pdfusesText_6