Question

The percentage of students who attended the talent show for years 2018 to 2013 I shown year | percent of students 2008 | 83% 2009 | 85% 2010 | 89% 2011 | 84% 2012 | 88% 2013 | 81% This year the school has a total of 400 students. How many students do you expect to attend the talent show this year explain how you found your answer please!:)

Answer 1

`Students = 340`

Explanation:

Given

`2008 \to 83\%`

`2009 \to 85\%`

`2010 \to 89\%`

`2011 \to 84\%`

`2012 \to 88\%`

`2013 \to 81\%`

`n = 400`

Required

The expected number of students

First, calculate the average attendance in the 6 years of the talent show.

`\bar x = (83\% + 85\% + 89\% + 84\% + 88\% + 81\%)/(6)`

`\bar x = (510\%)/(6)`

`\bar x = 85\%`

The expected number of students is:

`Students =n * \bar x`

`Students = 400 * 85\%`

`Students = 340`