Question

mariana collects data on players at a high school football camp. she chooses three random samples of players, each containing 25 players. the table shows her data. based on the data, complete the estimation about the population. about?% of the players at the football camp are 10th graders.

Explanation:

Step1: Find the total number of 10th - graders in the samples

In Sample 1, there are 6 tenth - graders. In Sample 2, there are 4 tenth - graders. In Sample 3, there are 5 tenth - graders.
The total number of 10th - graders in the samples is \(6 + 4+5=15\).

Step2: Find the total number of players in the samples

Since each sample has 25 players and there are 3 samples, the total number of players in the samples is \(25\times3 = 75\).

Step3: Calculate the percentage of 10th - graders

The formula for percentage is \(\text{Percentage}=\frac{\text{Part}}{\text{Whole}}\times100\).
Here, the part is the number of 10th - graders (\(n = 15\)) and the whole is the total number of players (\(N=75\)).
So, \(\text{Percentage}=\frac{15}{75}\times100\).
We know that \(\frac{15}{75}=\frac{1}{5}\), and \(\frac{1}{5}\times100 = 20\).

Answer:

\(20\)