The median of the first 20 numbers in a descending sequence is 16, while the median of the first 19 numbers is 18. What is the median of the first 21 numbers?
a) 14
b) 16
c) 18
d) Cannot be determined

• 16
  median=(n+1)/2 here for 20 numbers (20+1)/2=10.5 means 11.so 11th term=16
  for 19 numbers (19+1)/2=10.so 10th term=18
  now 21 numbers=(21+1)/2=11 so answer is 11th term number which is 16.
• 10 years agoHelpfull: Yes(16) No(4)
• median is [(n+1)/2]th value
  so for 19 numbers median=16
  19+1=20/2=10th term =16
  for 20 numbers 20+1=21/2=10.5
  10th and 11th term avg is 18 now we will get 11th term as 14
  for 21 numbers median = 21+1=22/2=11th term =14
  ans =14
• 10 years agoHelpfull: Yes(10) No(3)
• (10th+11th)/2 = median of 1st 20 no. = 16(given)
  median of 1st 29 no. = 18 =which is 10th term in the sequence
  
  now median of 1st 21 no. = 11th term
  
  (18+11th)/2=16
  (18+11th)= 32
  11th= 32-18 = 14 = median of 1st 21 no. (Ans.)
• 10 years agoHelpfull: Yes(5) No(0)
• ANS IS :- 14
• 10 years agoHelpfull: Yes(2) No(0)