Question

q 10.) a survey of the average amount of time students spend on homework during the week was taken at rocky hill high school. 80 students participated in the survey. the results are displayed in the graph below. if there are 2500, about how many spend one to two hours per night on homework?

Explanation:

Step1: Calculate the proportion in the sample

The number of students who spend one - to two hours per night on homework in the sample is 30 out of 80. The proportion $p=\frac{30}{80}=\frac{3}{8}$.

Step2: Estimate the number in the population

Multiply the proportion by the total number of students in the population. Let $N$ be the number of students in the population. We know $N = 2500$. The estimated number $n=p\times N=\frac{3}{8}\times2500=\frac{7500}{8}=937.5\approx938$.

Answer:

938