Q262 / 270 · NDA 2023 (Phase 1) · Mathematics

For data $-1,1,4,3,8,12,17,19,9,11$; if M is the median of first 5 observations and $N$ is the median of last five observations then what is the value of $4 M-N$ ?

  • A
    $7$
  • B
    $4$
  • C
    $1$
  • Correct answer
    D
    $0$

Solution

First 5 observations : $-1,1,4,3,8$ i.e. $-1.1 .3,4.8$ $\therefore \quad$ Median $(M)=3$ Last 5 observations : $12,17,19,9,11$ i.e. $9,11,12,17,19$ $\operatorname{Median}(N)=12$ $\therefore \quad 4 M-N=(3 \times 4)-12=0$.

Hence, the correct answer is option: 'D'.

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