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AP EAMCET · Maths · Statistics

The mean deviation from the mean for the data \(6,7,10\), \(12,13,4,12,16\) is

  1. A \(3: 25\)
  2. B \(3.52\)
  3. C \(3.33\)
  4. D \(2.35\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3: 25\)

Step-by-step Solution

Detailed explanation

Mean \(=\frac{6+7+10+12+13+4+12+16}{8}=10\) Mean deviation \[ \begin{aligned} & |6-10|+|7-10|+|10-10|+|12-10|+|13-10| \\ = & \frac{+|4-10|+|12-10|+|16-10|}{8} \\ = & \frac{4+3+0+2+3+6+2+6}{8}=\frac{26}{8}=3.25 \end{aligned} \]