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
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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
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
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