The numbers 9, 11, 12, 16, 18, 22 and N are arranged in ascending order. The mean of these numbers is equal to the median of the numbers. The value of N is?
Answer & explanation
Correct answer: option 2
Arrange in Ascending order = 9, 11, 12, 16, 18, 22
Total no. = 7 i.e. odd no.
Median in case of odd no. = \(\frac{n+1}{2}\)th term
i.e. 4th term
Median = 16
and it is given that , Median = Mean
Mean = \(\frac{sum\;of \;all \;the \;digits }{total \; no. \;of \;digits}\)
=\(\frac{9+11+12+16+18+22+N}{7}\)
=\(\frac{88+N}{7}\)
\(\frac{88+N}{7}\) = 16
N= 24