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For the terms, x + 1, x + 2, x – 1, x + 3 and x – 2(x ∈ N), if the median of the data is 12, then x = ………A) 9 B) 10 C) 11 D) 13 |
Answer» Correct option is: C) 11 Ascending order of given observation is as follows x-2, x-1, x+1, x+2, x+3 Total 5 observation \(\therefore\) n = 5 which is odd Now, \(\frac {n+1}2 = \frac {5+1}{2} = \frac 62 =3^{rd}\) Hence, \(3^{rd}\) observation is median of the data. Hence, x+1 is median of the data. \(\therefore\) x+1 = 12 (\(\because\) 12 is median of the given data) \(\Rightarrow\) x = 12 -1 = 11 Correct option is: C) 11 |
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