KCET · Maths · Statistics
The mean deviation about the mean for the date \(4,7,8,9,10,12,13,17\) is
- A \(10\)
- B \(3\)
- C \(8.5\)
- D \(4.03\)
Answer & Solution
Correct Answer
(B) \(3\)
Step-by-step Solution
Detailed explanation
Mean derivation about mean \(\mu=\frac{4+7+8+9+10+12+13+17}{8}\)
\(\begin{aligned}
& \frac{1}{\mathrm{~N}} \sum(\mathrm{xi}-\mu) \quad=\frac{80}{8}=10 \\
& =\frac{1}{8}(6+3+2+1+2+3+7) \quad=\frac{24}{8}=3
\end{aligned}\)
\(\begin{aligned}
& \frac{1}{\mathrm{~N}} \sum(\mathrm{xi}-\mu) \quad=\frac{80}{8}=10 \\
& =\frac{1}{8}(6+3+2+1+2+3+7) \quad=\frac{24}{8}=3
\end{aligned}\)
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