Mathematics Homework Help

1.Suppose that in a large class, the instructor announces that the
average grade on an exammmm is 75. Which is more likely to be closer to 75:

1. The exammm grade of a randomly selected student in the class?

OR

1. The mean exammm grade of a sample of 10 students?

Explain.

Write this first then give them reply from below posts. Do not use she,he, him ,her or this student. give them comment like your are giving them advice.

a.The greater the number of the data points the greater the chances you
have of being close to the mean of 75. So 10 data points of 10 student
testtt would be much more likely to be close to 75 than the single
randomly selected score. The more data points you have the more
clustered or close to mean it will be.

b. With only a sample of 1 your probability of choosing a students examm that is close to the average of 75 is not impossible but very low.

Now in a sample set of 10 exams you will have a greater probability of getting one examm that comes close, if not exactly the average of 75.

A better chance would arise if your sample set was at least 30 or more.