# There are 25 students in Mrs. Venetozzi's class at the beginning of the school year, and the average number of siblings for each student is 3. A new student with 8 siblings joins the class in November. What is the new class average for number of siblings?

Dec 3, 2016

The new average is $83 \div 26 = 3 \frac{5}{26}$ exactly

$83 \div 26 \approx 3.192$ to 3 decimal places

#### Explanation:

Assumption: None of the siblings are in that class.

$\textcolor{b l u e}{\text{Original numbers}}$

25 students with 3 siblings each gives $25 \times 3 = 75$ siblings

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$\textcolor{b l u e}{\text{New numbers}}$

1 new student takes the total students to 25+1 = 26

The new total siblings is $75 + 8 = 83$

The new average is $83 \div 26 = 3 \frac{5}{26}$ exactly

$83 \div 26 \approx 3.192$ to 3 decimal places