Question

We are trying to estimate an average score on the exam. We randomly selected 6 students from the class and their scores are: 87, 34, 98, 68, 77, 65. What is the point estimate of the average on the exam?

Answer 1

To find the point estimate of the average score on the exam, you need to calculate the mean (average) of the scores of the 6 students you selected.

The formula for the mean is:

\[
\text{Mean} = \frac{\text{Sum of all scores}}{\text{Number of scores}}
\]

First, let's sum the scores:

\[
87 + 34 + 98 + 68 + 77 + 65 = 429
\]

Now, divide the total by the number of scores (which is 6):

\[
\text{Mean} = \frac{429}{6} \approx 71.5
\]

So, the point estimate of the average on the exam is approximately **71.5**.