Question

If different values of variable x are $9.8,5.4,3.7,1.7,1.8,2.6,2.8,8.6,10.5$ and $11.1$. Find the value of $\sum (x-\overline{x})$

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is A $0$

The values of $x$ are: $9.8,5.4,3.7,1.7,1.8,2.6,2.8,8.6,10.5$,$11.1$
Mean = $\frac{Sum}{TotalNumbers}$
Mean = $\frac{9.8+5.4+3.7+1.7+1.8+2.6+2.8+8.6+10.5+11.1}{10}$
Mean = $\frac{58}{10}$ = $5.8$
Now,
$\sum (x-\overline{x})$ = $(9.8-5.8)+(5.4-5.8)+(3.7-5.8)+(1.7-5.8)+(1.8-5.8)+(2.6-5.8)+(2.8-5.8)+(8.6-5.8)+(10.5-5.8)+(11.1-5.8)$
= $4-0.4-2.1-4.1-4-3.2-3.0+2.8+4.7+5.3$
= $0$