Q: The mean (average) of the numbers 8, 12, 13, 15, 17, 19 and y is 16.. Find y
Please include work. Thank you
2007-04-09 04:49:24 · 7 answers · asked by Tom 2 in Science & Mathematics ➔ Mathematics
The mean is found by adding up the values and dividing by the number of values.
The number of values here is 7.
so the question says
(8 + 12 + 13 + 15 + 17 + 19 + y) / 7 = 16
Multiply both sides by 7
8 + 12 + 13 + 15 + 17 + 19 + y = 112
Add all the numbers up:
84 + y = 112
Take 84 from both sides:
y = 28.
CHECK:(8 + 12 + 13 + 15 + 17 + 19 + 28)/7 = 16.
This confirms that y = 28.
2007-04-09 04:55:48 · answer #1 · answered by peateargryfin 5 · 0⤊ 0⤋
All right. So, to find the mean, you take the numbers that you've been given, add them up, and then divide by the amount of numbers you have. Knowing this, you can set up the equation (8 + 12 + 13 + 15 + 17 + 19 + y) / 7 = 16.
When you add the terms in parentheses, this simplifies to: (84 + y) / 7 = 16.
Then you multiply both sides by 7 and get 84 + y = 112.
Finally you subtract 84 from both sides, and voila! y = 28.
2007-04-09 11:58:04 · answer #2 · answered by Goat 2 · 0⤊ 0⤋
to average add them up then divide by how many numbers
so break that down
16 =( 8+12+13+15+17+19+y ) / 7
multiply 7 over and then subtact the numbers to solve for y
112=8+12+13+15+17+19+y
subtact all numbers to get y = 28
y = 28
2007-04-09 11:54:04 · answer #3 · answered by Anonymous · 0⤊ 0⤋
we know there are seven number from which the average is to be made - one of which is y
we know the average is 16 therefore 16 times 7 is the total of all seven numbers = 112
112 - 8 - 12 - 13 - 15 - 17 - 19 = 28
therefore y = 28
2007-04-09 11:54:57 · answer #4 · answered by Pete M 2 · 0⤊ 0⤋
mean=total value / quantity
16 =(8+12+13+15+17+19+y) / 7
16 = (84+y) / 7
16 * 7 =( 84+y ) / 7 *7
112 = 84+y
112-84 = 84+y-84
28 =y
y = 28
2007-04-09 12:03:27 · answer #5 · answered by Abdullahi S 1 · 0⤊ 0⤋
Add the 6 numbers up. You get 84.
The mean of the 7 numbers you know to be 16.
7 times 16 is 112.
112 less 84 is 28.
So you now know that the number you need to add to the 6
numbers such that the mean of the 7 numbers is 16 is 28.
ANS: y = 28.
2007-04-09 12:11:26 · answer #6 · answered by BB 7 · 0⤊ 0⤋
(8+12+13+15+17+19+y)/(7)=16
then
(84+y)/7=16
84+y=112
y=112 - 84
y= 28
2007-04-09 11:57:59 · answer #7 · answered by WHatisuppppppp 2 · 0⤊ 0⤋