TS EAMCET · Maths · Statistics
If \(\mathrm{M}\) and \(\sigma^2\) represent respectively the mean deviation from the mean and the variance for the data \(1,3,5,7,11\), \(13,17,19,23\) then \(3\left(\sigma^2-M\right)=\)
- A 232
- B 112
- C 224
- D 136
Answer & Solution
Correct Answer
(D) 136
Step-by-step Solution
Detailed explanation
\begin{aligned} & \text {} \bar{X}=\frac{\Sigma x_i}{n}=\frac{99}{9}=11 \\ & \begin{aligned} M & =\frac{\Sigma\left|x_i^n-\bar{x}\right|^{\prime}}{n} \\ & =\frac{10+8+6+4+0+2+6+8+12}{9}=\frac{56}{9} \\ \sigma^2 &…
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