Question

suppose a joker received an 85 on her first five astronomy quizzes. due to an unexcused absence, she gets a 0 on the next quiz. what would happen to the standard deviation? standard deviation would stay the same; only the mean would change. standard deviation would decrease because the new data - point is lower than quiz average. standard deviation would increase because a data point is being introduced to the set that is far from the mean. standard deviation would decrease because a data point is being introduced to the set that is far from the mean.

Explanation:

Step1: Recall standard - deviation concept

Standard deviation measures the dispersion of a data - set. A value far from the mean will increase the spread.

Step2: Analyze the new data - point effect

The player had high scores on the first five quizzes (mean is likely high). Getting a 0 on the next quiz is a data - point far from the previous mean.

Step3: Determine the impact on standard deviation

Since the new data - point (0) is far from the mean of the previous scores, it will increase the standard deviation of the data - set.

Answer:

C. Standard deviation would increase because a data point is being introduced to the set that is far from the mean.