Q67 / 180 · KCET 2025 · Mathematics
The mean deviation about the mean for the date $4,7,8,9,10,12,13,17$ is
- A$10$
- Correct answerB$3$
- C$8.5$
- D$4.03$
Solution
Mean derivation about mean $\mu=\frac{4+7+8+9+10+12+13+17}{8}$
$\begin{aligned}
& \frac{1}{\mathrm{~N}} \sum(\mathrm{xi}-\mu) \quad=\frac{80}{8}=10 \\
& =\frac{1}{8}(6+3+2+1+2+3+7) \quad=\frac{24}{8}=3
\end{aligned}$
Hence, the correct answer is option: 'B'.