29. If the average of 16, 14, x, 23,20 is 18, find the value of x.30.

1.	29. If the average of 16, 14, x, 23,20 is 18, find the value of x.30. The average monthly salary of 19 members of a group is 1600. One moresalary is 2000 per month has joined the group. Find the new average monthly sala1600. One more member whose meelonthly salary of the you
Answer» (1) Average = sum of observations / number of observationsAverage = (16 + 14 + x + 23 + 20)/5 18 = (73 + x)/573 + x = 90x = 90 - 73 = 17 Therefore, value of x = 17 (2) Average = sum of observations / number of observationsSum of salary of 19 members= 191600 As new member is added having salary 2000. Then,New sum of salary = 191600+ 2000Now members are 20 New Average= 19*1600 + 2000/20= (30400 + 2000)/20= 32400/20= 1620

29. If the average of 16, 14, x, 23,20 is 18, find the value of x.30. The average monthly salary of 19 members of a group is 1600. One moresalary is 2000 per month has joined the group. Find the new average monthly sala1600. One more member whose meelonthly salary of the you

Answer»

(1) Average = sum of observations / number of observationsAverage = (16 + 14 + x + 23 + 20)/5

18 = (73 + x)/573 + x = 90x = 90 - 73 = 17

Therefore, value of x = 17

(2) Average = sum of observations / number of observationsSum of salary of 19 members= 19*1600

As new member is added having salary 2000.

Then,New sum of salary = 19*1600+ 2000Now members are 20

New Average= 19*1600 + 2000/20= (30400 + 2000)/20= 32400/20= 1620