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Montano1993 [528]
4 years ago
11

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
Mathematics
1 answer:
oksian1 [2.3K]4 years ago
3 0

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



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