Question

if ui = xi - 900,sigma fiui = -400 and Sigma fi = 100 then find mean...

Answer 1

Given:

ui= xi -900

sigma fiui= -400

sigma fi = 100

To prove:

mean= ?

Solution:

Formula:

$\bold{ \Rightarrow \ mean = A + \frac{\sum fiui}{\sum fi } \times h }$

$\bold{\Rightarrow ui = \frac{(xi-a)}{h}}$

where h= 1

$\Rightarrow A = 900\\\\\Rightarrow = 900\\\\\Rightarrow \sum fiui = -400 \\\\\Rightarrow \sum fi = 100\\\\\Rightarrow \ mean = A + \frac{\sum fiui}{\sum fi } \times h\\\\\Rightarrow \ mean = 900 + \frac{-400}{100 } \times 1\\\\\Rightarrow \ mean = 900 -4\\\\\Rightarrow \ mean = 896$

The mean is = 896.

Answer 2

Step-by-step explanation:

Therefore, Arithmetic Mean(A.M) is 896.