Answer:
[tex]Students = 340[/tex]
Step-by-step explanation:
Given
[tex]2008 \to 83\%[/tex]
[tex]2009 \to 85\%[/tex]
[tex]2010 \to 89\%[/tex]
[tex]2011 \to 84\%[/tex]
[tex]2012 \to 88\%[/tex]
[tex]2013 \to 81\%[/tex]
[tex]n = 400[/tex]
Required
The expected number of students
First, calculate the average attendance in the 6 years of the talent show.
[tex]\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}[/tex]
[tex]\bar x = \frac{510\%}{6}[/tex]
[tex]\bar x = 85\%[/tex]
The expected number of students is:
[tex]Students =n * \bar x[/tex]
[tex]Students = 400 * 85\%[/tex]
[tex]Students = 340[/tex]
