Q89 / 180 · KCET 2015 · Mathematics
The mean deviation from the data \( 3,10,10,4,7,10,5 \) :
- A\( 03 \)
- B\( 12 \)
- C\( 3.75 \)
- Correct answerD\( 2.57 \)
Solution
Given that,
$\bar{x}=\frac{3+10+10+4+7+10+5}{7}-\frac{49}{7}=7$
Deviations is given by,
$|3-7|=4,|10-7|=3,|10-7|=3$
$|4-7|=3,|7-7|=0,|10-7|=3,|5-7|=2$
So, mean deviation is given by,
$\frac{4+3+3+3+0+3+2}{7}=\frac{18}{7}=2.57$
Hence, the correct answer is option: 'D'.