Question

A college professor calculates the standard deviation of all the grades from the midterm exams she most recently administered. Which of the following is the best description of the standard deviation?

(A) The difference between the highest score on the midterm and the lowest score on the midterm.
(B) The difference between the score representing the 75th percentile of all midterm exams and the score representing the 25th percentile of all midterm exams.
(C) Approximately the mean distance between each individual grade of the midterm exams.
(D) Approximately the mean distance between the individual grades of the midterm exams and the mean grade of all midterm exams.
(E) Approximately the median distance between the individual grades of the midterm exams and the median grade of all midterm exams.

Answer 1

The correct answer is (d) Approximately the mean distance between the individual grades of the midterm exams and the mean grade of all midterm exams.  

Step-by-step explanation:

• Standard deviation is a term used in mathematics.  

• It is used to describe the difference between the members of a group and how much do they deviate from one another.

• One can easily find out the standard of deviation by figuring out their mean value.