Answer:
Average = 17.65 years
Step-by-step explanation:
It is given that,
35% of the people in a class are 17 years old.
65% of the people in a class are 18 years old.
We need to find the average age for the students in the class.
Let there are 100 people in the class. It means that 35 people are 17 years old and 65 people are 18 years old.
[tex]\text{average}=\dfrac{\text{sum of observations}}{\text{no of observations}}[/tex]
Sum of ages of people having 17 years age = 35 × 17 = 595
Sum of ages of people having 18 years age = 65 × 18 = 1170
So,
[tex]\text{Average age of the class}=\dfrac{\text{total sum of ages}}{\text{total people}}\\\\A=\dfrac{595+1170}{100}\\\\A=17.65\ \text{years}[/tex]
So, the average age for the students in the class is 17.65 years.