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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Statistics

NDA 2023 · Mathematics · Statistics

The observations 4,1,4,3,6,2,1,3,4,5,1,6 are outputs of 12 dices...

The observations 4,1,4,3,6,2,1,3,4,5,1,64,1,4,3,6,2,1,3,4,5,1,6 are outputs of 12 dices thrown simultaneously. If mm and MM are means of lowest 8 observations and highest 4 observations respectively, then what is (2m+M)(2 m+M) equal to?

Options

  1. A1010
  2. B1212
  3. C1717
  4. D2121

Correct answer

A. 1010

Step-by-step solution

Observations in ascending order 1,1,1,2,3,3,4,4,4,5,6,6m=1,1,1,2,3,3,4,4,4,5,6,6m= mean of 1,1,1,2,3,3,4,4=1+1+1+2+3+3+4+48=198M=1,1,1,2,3,3,4,4=\frac{1+1+1+2+3+3+4+4}{8}=\frac{19}{8}M= Mean of highest 4 observations (4,5,6,6)M=4+5+6+64=2142m+M=2(198)+214=10(4,5,6,6)M=\frac{4+5+6+6}{4}=\frac{21}{4}2 m+M=2\left(\frac{19}{8}\right)+\frac{21}{4}=10.
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