The mean height of Pat, Dex, Allan, Dan and Roy is 68 inches. If George is included in the group, the mean height becomes 67 inches. How tall is George?
Show that 2Radical2an irrational number
Your last 4 or 5 questions have all been the same type.
I will do this one and let you do the others in the same way
The average for the 5 boys is 68, so their total heights is 5(68) = 340
Let George's height be x
(x + 340)/6 = 67
x+340 = 402
x = 62
To find the height of George, we can use the concept of the mean (average) height. We can start by calculating the total height of all six individuals when George is included.
We know that the mean height of Pat, Dex, Allan, Dan, and Roy is 68 inches. Since there are five people in the group, the total height of those five individuals is the mean height multiplied by the number of people:
Total height of Pat, Dex, Allan, Dan, and Roy = 68 inches * 5
Now, when George is included, the mean height becomes 67 inches. We can calculate the total height of all six individuals using the new mean height:
Total height of all six individuals = 67 inches * 6
The difference between the total height when George is included and the total height of the original five individuals will give us George's height. So, we can set up an equation:
Total height of all six individuals - Total height of Pat, Dex, Allan, Dan, and Roy = George's height
George's height = (67 inches * 6) - (68 inches * 5)
Simplifying:
George's height = 402 inches - 340 inches
George's height = 62 inches
Therefore, George's height is 62 inches.