Question

Explain the terms in direct mean method

Answer 1

Step-by-step explanation:

Mean ( Direct method) Mean (or average) of observations, as we know, is the sum of the values of all the observations divided by the total number of observations. ... Now, the sum of the values of all the observations = f 1 x 1 + f 2 x 2 + . . . + f n x n , and the number of observations = f 1 + f 2 + . . . + f n .

Answer 2

Answer:

Mean ( Direct method)

Mean (or average) of observations, as we know, is the sum of the values of all the observations divided by the total number of observations.

If x 1 , x 2 ,… x n , are observations with respective frequencies f 1 , f 2 ,, . . ., f n then this means observation x 1 , occurs f 1 times, x 2 , occurs f 2 , times, and so on. Now, the sum of the values of all the observations = f 1 x 1 + f 2 x 2 + . . . + f n x n , and the number of observations = f 1 + f 2 + . . . + f n .

f1 x1 + f2 x2 + . . . + fn xn

x = ---------------------------------

f1 + f2 + . . . + fn

This can be written in short way using Greek letter Σ

Σfi xi

x = ------

Σ fi