A. A teacher calculated the standard deviation of scores on a pop quiz for his c

Question

A. A teacher calculated the standard deviation of scores on a pop quiz for his class of 20 students. He found a mean score of 10 points and a standard deviation of 0. What does this result imply about the quiz scores?

Some of the 20 students in his class scored more than 10 points on the pop quiz.

All 20 students in his class scored exactly 10 points on the pop quiz.

Some of the 20 students in his class scored less than 10 points on the pop quiz.

B. The same teacher then calculated the mean and standard deviation of exam scores for his 20 students. He found a standard deviation of -3.45 points. What does this result imply about the exam scores?

All of the exam scores are within 3.45 points of the mean.

The average distance of the exam scores from the mean is 3.45 points.

50% of the exam scores are within 3.45 points of the mean.

Nothing - you cannot have a negative standard deviation.

Some of the 20 students in his class scored more than 10 points on the pop quiz.

All 20 students in his class scored exactly 10 points on the pop quiz.

Some of the 20 students in his class scored less than 10 points on the pop quiz.

Explanation / Answer

1) option B all 20 students in the class scored 10

2) option D you cannot have a negative standard deviation

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