Question

19. The mean of 15 different natural
numbers is 13. The maximum
value of the second largest of
these numbers is
(1) 53 (2) 52
(3) 51 (4,50​

Answer 1

Answer:

51

Step-by-step explanation:

the sum of 15 numbers = 15 × 13

= 195

for maximum value of 2nd largest number the other 13 values will be least.

therefore , that 13 values will be

1+2+.........+13

the sum of n natural numbers is,

=n(n+1)/2

here n=13

=13(13+1)/2

=(13×14)/2

=91

therefore the sum of last 2 numbers

= sum of 15 numbers- sum of 13 numbers

= 195-91

= 104

therefore the 14th and 15th number will be 51 and 53.

the second largest number is 51