The numbers 9, 13, 15, 20, 22, 24, 26, 29 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 1
The correct answer of the question is in the option: (1)
Ascending order = 9, 13, 15, 20, 22, 24, 26, 29 and N
Total no. = 9 i.e. odd
Median in case of odd no. = \(\frac{n+1}{2}\)th term = i.e. 5th term
Median = 22
and it is given that , Median = Mean
Mean = \(\frac{sum\;of \;all \;the \;digits }{total \; no. \;of \;digits}\)
22 = \(\frac{9+13+15+20+22+24+26+29+N}{9}\)
22 = \(\frac{158+N}{9}\)
198 = 158 + N
N = 198 - 158 = 40