Question

Steven, a college professor computed the mean and standard deviation of the final test which he administered to his day and evening classes

Class mean grade standard deviation

Day 66 11

Evening 66 4

1. In which class would you expect to find the lowest grade. Explain

2. In which class would you expect to find the highest grade. Explain

3. If Steven randomly selects a student from each one of these classes, then from which class would

   Steven have a better chance of selecting a student with a grade closer to the mean grade. Explain

4. In the evening class a student scored a 83 on the final test. Is this an outlier. Explain yes or no

Answer 1

(1)

Question:

In which class would you expect to find the lowest grade. Explain

Day

Explanation:

the lowest grade for Day =

the lowest grade for Evening =

(2)

Question:

In which class would you expect to find the highest grade. Explain

Day

Explanation:

the highest grade for Day =

the highest grade for Evening =

(3)

Question:

If Steven randomly selects a student from each one of these classes, then from which class would Steven have a better chance of selecting a student with a grade closer to the mean grade. Explain

Evening

Explanation:

Standard Deviation for Evening = 4 is less than Standard Deviation for Day = 11. So, Evening has less variation than Day.

(4)

Question:

In the evening class a student scored a 83 on the final test. Is this an outlier. Explain yes or no

Yes

Explanation:

83 is gearer than . So,83 is an outlier.