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

Answer:

$Students = 340$

Step-by-step 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.

$\bar x = \frac{83\% + 85\% + 89\% + 84\% + 88\% + 81\%}{6}$

$\bar x = \frac{510\%}{6}$

$\bar x = 85\%$

The expected number of students is:

$Students =n * \bar x$

$Students = 400 * 85\%$

$Students = 340$