Question

Nick surveyed a random sample of the freshman class of his high school to determine whether the Fall Festival should be held in October or November. Of the 90 students surveyed, 25.6% preferred October. Based on this information, about how many students in the entire 225-person class would be expected to prefer having the Fall Festival in October?

• A. 50
• B. 60
• C. 75
• D. 80

Answer 1

Answer: (B)

60

Total Strength of the class = $225$
Of the $90$ students surveyed, $25.6$ preferred October. So, it can be assumed that $25.6$ of the entire 225 person class would prefer having the Fall Festival in October
So, nos. of students = $225\times \frac{25.6}{100}={\frac{1}{4}}^{th}$ of $224$ = $56$
So, roughly $60$ students would prefer having the Fall Festival in October.