TS EAMCET · Maths · Statistics
If the variance of the data \(2,3,5,8,12\) is \(\sigma^2\) and the mean deviation from the median for this data is \(\mathrm{M}\), then \(\sigma^2-\mathrm{M}=\)
- A \(10.2\)
- B \(5.8\)
- C \(10.6\)
- D \(8.2\)
Answer & Solution
Correct Answer
(A) \(10.2\)
Step-by-step Solution
Detailed explanation
(a) Observations : 2, 3, 5, 8, 12 \[ \begin{aligned} & \text { Mean }=\frac{2+3+5+8+12}{5}=6 \\ & \therefore \quad \sigma^2=\frac{\sum\left(x_i-\bar{x}\right)^2}{n}=\frac{16+9+1+4+36}{5}=\frac{66}{5} \\ & \therefore \quad \sigma^2=13.2 \\ & \text { Median }=5=m \end{aligned} \]…
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