Question

The average height of 4 children is (15h-3). Two more children join the group with heights of (10h+46) centimeters and (14h-16) centimeters. Find the average height of the 6 children if h=9

Answer 1

Answer: 123.5 centimeters

Step-by-step explanation:

Let sum of observations be S and number of observations be n.

Average A=$\frac{\text{S}}{\text{n}}$

The average height of 4 children is (15h-3)

$(15h-3)=\frac{S}{4}\\\Rightarrow\ S=4(15h-3)\\\Rightarrow\ S=60h-45$

Also, when two more children join the group with heights of (10h+46) centimeters and (14h-16) centimeters the sum of heights of 6 children will be

$S+(10h+46)+(14h-16)=60h-45+10h+46+14h-16=84h-107$

Now, Average height of 6 students=$\frac{84h-15}{6}$

At h=9

Average height of 6 students=$\frac{84(9)-15}{6}=\frac{741}{6}=123.5\ centimeters$