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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Statistics

NDA 2014 · Mathematics · Statistics

What is the mean deviation about the mean for the data...

What is the mean deviation about the mean for the data 4,7,8,9,10,12,13,174,7,8,9,10,12,13,17 ?

Options

  1. A2.5
  2. B3
  3. C3.5
  4. D4

Correct answer

B. 3

Step-by-step solution

∵ Mean =4+7+8+9+10+12+13+178=808=10∴\because \text{ Mean }=\frac{4+7+8+9+10+12+13+17}{8}=\frac{80}{8}=10\therefore Mean deviation ∣4−10∣+∣7−10∣+∣8−10∣+∣9−10∣+∣10−10∣=(∣12−10∣+∣13−10∣+∣17−10∣8=6+3+2+1+0+2+3+78=248=3.\begin{aligned} & |4-10|+|^{7}-10|+|^{8}-10|+|^{9}-10|+|10-10| \\ = & \frac{(|12-10|+|13-10|+|17-10|}{8} \\ = & \frac{6+3+2+1+0+2+3+7}{8}=\frac{24}{8}=3 . \end{aligned}
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