if u_i= x_i-25 10 _iu_i=20, _i=100, then x - Vidyadip

MCQ

if $\text{u}_\text{i}=\frac{\text{x}_\text{i}-25}{10}\sum\text{f}_\text{i}\text{u}_\text{i}=20,\sum\text{f}_\text{i}=100,$ then $\bar{\text{x}}$

A
$23$
B
$24$
✓
$27$
D
$25$

✓

Answer

Correct option: C.

$27$

$\text{u}_\text{i}=\frac{\text{x}_\text{i}-25}{10},\ \sum\text{f}_\text{i}\text{u}_\text{i}=20,\ \sum\text{f}_\text{i}=100$
Here assumed mean $= 25$
and class interval $(h) = 10$
$\therefore\ \bar{\text{x}}=\text{A}+\frac{\sum\text{f}_\text{i}\text{u}_\text{i}}{\sum\text{f}_\text{i}}\times\text{h}$
$=25+\frac{20}{100}\times10$
$=25+2=27$

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