Ten students in an Algebra class were surveyed on how many of them would benefit from tutoring. If the margin of error is ±4

with a 95% confidence level, and the lower margin is 13 and the upper margin is 21, 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

1 answer

To find the average number of students who said they would benefit from tutoring, we can use the information about the margin of error and the lower and upper bounds.

The lower margin is 13 and the upper margin is 21. The average can be calculated as the midpoint of these two values.

\[ \text{Average} = \frac{\text{Lower margin} + \text{Upper margin}}{2} \]

Substituting in the values:

\[ \text{Average} = \frac{13 + 21}{2} = \frac{34}{2} = 17 \]

Therefore, the average number of students in the class who said they would benefit from tutoring is 17.