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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!:)

Sagot :

MrRoyal

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]

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