the 400 students at redwood middle school took a survey about the language they plan to study in high…

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 language frequency chinese 3 french 6 german 2 italian 1 spanish 8

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 language frequency chinese 3 french 6 german 2 italian 1 spanish 8

Answer

Explanation:

Step1: Calculate the proportion in the sample

The proportion of students who plan to study French in the sample is $\frac{6}{20}$.

Step2: Estimate for the whole - school population

Multiply the proportion by the total number of students in the school. So the estimate is $\frac{6}{20}\times400$. $\frac{6}{20}\times400 = 6\times20=120$.

Answer:

120 students