The mean height of 5 students is 61.8. If one of the students leaves, the mean height becomes 60. What is the height of the absent student?
The total for 5 students is 309 inches.
4 * 60 = 240
309 - 240 = ?
The way to find the mean is by adding up all the different values and then dividing by the total number. If there are five numbers you can set up an algebraic equation like:
x/5 = 61.8
then you can set up a new equation to solve for the height without the absent student:
h/4 = 60
Then you subtract the second value from the first, to get the difference, which is the height of the absent student.
(5*61.8 - 1*x)/4 = 60
309 -x = 240
x = 69
To find the height of the absent student, we first need to determine the total height of all the students when they are together.
Since the mean height of the 5 students is 61.8, we can start by multiplying the mean height by the number of students:
61.8 * 5 = 309
This means that the total height of all 5 students combined is 309.
Now, if one of the students leaves, the remaining 4 students have a mean height of 60. To find the total height of the 4 students, we multiply the new mean height by the number of remaining students:
60 * 4 = 240
Now, we can find the height of the absent student by subtracting the total height of the remaining students from the total height when all 5 students are together:
309 - 240 = 69
Therefore, the height of the absent student is 69.