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Question: Answered & Verified by Expert
The mean deviation about the median of the following distributions is

MathematicsStatisticsTS EAMCETTS EAMCET 2019 (04 May Shift 2)
Options:
  • A 7.5
  • B 8.4
  • C 9.2
  • D 9.6
Solution:
2089 Upvotes Verified Answer
The correct answer is: 7.5



$\because$ Here, $n=7$ (odd)
$\therefore$ Median $=\left(\frac{n+1}{2}\right)$ observation
$$
=4 \text { observation }=24
$$

Mean deviations
$$
=\frac{\Sigma f i\left(x_1-\text { Median }\right)}{\Sigma f i}=\frac{510}{68}=7.5
$$

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