The height of four students are as follows: Pat - 112, Gerald - 123, Mark -100, Ricky - 125, Roy - 143. If Jon is included, the mean height would be 110. What is Jon's Height?
To find Jon's height, we need to calculate the sum of the heights of all the students, including Jon, and then subtract the sum of the heights of the other four students.
Let's calculate the sum of the heights of the four students given:
Pat = 112
Gerald = 123
Mark = 100
Ricky = 125
Sum of heights = Pat's height + Gerald's height + Mark's height + Ricky's height
= 112 + 123 + 100 + 125
= 460
Now, let's calculate the sum of heights if Jon is included:
Mean height = 110 (given)
Number of students = 5 (including Jon)
Sum of heights = Mean height × Number of students
= 110 × 5
= 550
Since we already know the sum of the heights without Jon (460), we can find Jon's height by subtracting the two values:
Jon's height = Sum of heights including Jon - Sum of heights without Jon
= 550 - 460
= 90
Therefore, Jon's height is 90.