Question

Use the table to answer the question.

Eight students in a science class were surveyed on whether they would benefit from tutoring. The survey had the following characteristics.

Margin of Error ±3

Confidence Level 95%
Lower Margin 10
Upper Margin 16
What is the average number of students in the class who said they would benefit from tutoring?


The average number of students who would benefit from tutoring is
.

Answer 1

To find the average number of students in the class who said they would benefit from tutoring, we can use the lower and upper margins provided in the survey.

The lower margin is 10% and the upper margin is 16%. This indicates that the percentage of students who would benefit from tutoring is estimated to be between 10% and 16% of the total class size.

The total number of students surveyed is 8. Therefore, we can calculate the estimated average number of students who would benefit from tutoring using the formula:

1. For the lower margin (10%):
\[
\text{Lower Estimate} = 0.10 \times 8 = 0.8 \text{ students}
\]

2. For the upper margin (16%):
\[
\text{Upper Estimate} = 0.16 \times 8 = 1.28 \text{ students}
\]

Thus, the range of students who would benefit from tutoring is between 0.8 and 1.28 students.

Since we are typically interested in whole students, we can assume an approximate average based on these estimates. A common approach would be to take the midpoint of these two values:

\[
\text{Average} = \frac{0.8 + 1.28}{2} \approx 1.04
\]

So, rounding down to the nearest whole number (since you cannot have a fraction of a student), the average number of students in the class who said they would benefit from tutoring is roughly:

\[
1 \text{ student}
\]

However, for more precise purposes, we could say that the average number of students who said they would benefit from tutoring is approximately 1 student.