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2. A local high school has a student population of 3,020 . In a random sample, \( 42 \% \) of the students were female athletes. Approximately how many female athletes can be expected in the entire school population? 125 students 1,270 students 302 students 2,978 students

Ask by Lyons Conner. in the United States
Feb 04,2025

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Answer

Approximately 1,270 female athletes can be expected in the entire school population.

Solution

To determine the expected number of female athletes in the entire student population of 3,020, you can use the percentage provided from the random sample. 1. **Calculate 42% of 3,020:** \[ 0.42 \times 3,020 = 1,268.4 \] 2. **Round to the nearest whole number:** Since the number of students must be a whole number, you round 1,268.4 to **1,270**. **Answer:** 1,270 students

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To find the expected number of female athletes, you multiply the total student population by the percentage of female athletes. So, \( 3,020 \times 0.42 = 1,264 \). Rounding this gives you approximately 1,270 students. So the correct answer is 1,270 students! Now, here’s a fun fact: if this high school has 1,270 female athletes, they could easily fill up a sports stadium! That’s a strong representation of young women in sports, leading the charge toward gender equity in athletics. Also, statistical sampling like this is crucial in research. It allows us to make educated guesses about a larger population by gathering information from just a small representative sample, making it easier to draw conclusions without having to survey everyone!

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