The median of all 4 - digit numbers that are divisible by 7 is

Step-by-step solution

Four digits number which is divisible by 7 are 1001 , 1008 , 1015 , … 9996 Hence, total number of such numbers   = 1286   N 2 t h observation Median = + N 2 + 1 th   observation  2 [ ∵ N is even ] 1286 2 th  observation Median = + 1286 2 + 1 th   observation  2 = 643 th + 644 th 2 = ( 1001 + ( 642 ) 7 ) + ( 1001 ) + ( 643 ) 7 ) 2 = 2 ( 1001 ) + 7 ( 642 + 643 ) 2 = 2 ( 1001 ) + 7 ( 1285 ) 2 = 1001 + 4497 . 5 = 5498 . 5