Question

the 400 students at redwood middle school took a survey about the language they plan to study in high school. the table shows the results of a random sample of 20 students who took the survey. based on the sample, which is the best estimate of the number of students at the school who plan to study french? 20 students 80 students 120 students 160 students

Explanation:

Step1: Calculate the proportion of students choosing French in the sample

The proportion \( p=\frac{\text{Frequency of French}}{\text{Total sample size}}=\frac{6}{20} = 0.3\)

Step2: Estimate the number of students choosing French in the whole school

Multiply the proportion by the total number of students in the school. Let \(N\) be the number of students choosing French in the school. \(N = p\times400\). Substitute \(p = 0.3\) into the formula, \(N=0.3\times400=120\)

Answer:

120 students