Question

1) write all the formulas of Measures of
Central tendency chapter economic​

Answer 1

Answer:

A central tendency refers to a central value or a representative value of a statistical series.

According to Clark, “An average is a figure that represents the whole group”.

Types of Statistical Averages

Averages are broadly classified into two categories

Mathematical Averages

Positional Averages

Arithmetic Mean

Arithmetic Mean is the number which is obtained by adding the values of all the items of a series and dividing the total by the number of items.

Arithmetic Mean is generally written as X. It may be expressed in the form of following formula

X¯¯¯¯=x1+x2+x3+……xNN or ΣX¯¯¯¯¯N

Types of Arithmetic Mean

Simple Arithmetic Mean

Weighted Arithmetic Mean

Methods of Calculating Simple Arithmetic Mean

(i) Individual Series In the case of individual series, Arithmetic Mean may be calculated by two methods

Direct Method According to this method, we find the Arithmetic mean from the following formula

X¯¯¯¯=ΣXN or X¯¯¯¯= Total value of the item Number of items

Short-cut Method By short cut method, we find the Arithmetic Mean from the following formula

X¯¯¯¯=A+ΣdN

Here, X¯¯¯¯ = Arithmetic Mean, A = Assumed average of Ed = Net sum of the deviations of the different values from the assumed average; and N = Number of items in the series,

(ii) Discrete Series There are three methods of calculating mean of the discrete series

Direct Method Direct method of estimating mean of the discrete frequency series uses the formula

X¯¯¯¯=ΣfXΣf

Short-cut Method Short cut method of estimating mean of the discrete frequency series uses the following formula

X¯¯¯¯=A+ΣfdΣf

Step-deviation Method This method is a variant of short-cut method. It is adopted when deviations from the assumed mean have some common factor

Explanation:

Hope it helps.