Question

Find the arithmetic mean of $10$ observations $14,36,25,28,35,32,56,42,50,62$ by assuming mean as $40$. Also find mean by regular formula. Do you find any difference

Answer 1

$\sum x=380$

$n=10$

$Regular$ $mean=\overline{x}=\frac{\sum x}{n}=\frac{380}{10}=38.$

$Assumed$ $mean=40.$

$\therefore$ Yes, there is a difference. $Assumed$ $mean$ exceeds $Regular$ $mean$ by $2.$