The mean height of 5 students is 58.8 in. If a new student is added the mean height becomes 60 in. What is the height of the new student?
58.8*5 = 294
60*6 = 360
360-294=66 inches.
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Cool. Thanks for the help!
To find the height of the new student, we'll need to make use of the concept of mean or average.
Step 1: Find the sum of the heights of the original 5 students.
The sum of the heights of the original 5 students can be calculated by multiplying the mean height by the number of students:
Sum of heights of original 5 students = Mean height * Number of students = 58.8 in * 5 = 294 in.
Step 2: Find the sum of the heights of all 6 students (including the new student).
The sum of the heights of all 6 students can be calculated by multiplying the new mean height by the total number of students:
Sum of heights of all 6 students = New mean height * Total number of students = 60 in * 6 = 360 in.
Step 3: Calculate the height of the new student.
The height of the new student can be found by subtracting the sum of the heights of the original 5 students from the sum of the heights of all 6 students:
Height of new student = Sum of heights of all 6 students - Sum of heights of original 5 students =
360 in - 294 in = 66 in.
Therefore, the height of the new student is 66 inches.