Statistics and Data Analysis Quiz

The following data set represents the number of cups of coffee a group of coworkers drank last week: 3, 5, 4, 6, 2, 5, 3, 4. a) Calculate the mean of the data set. b) Find the standard deviation. c) Find the z-score for 2 cups.

A teacher recorded the scores of students on a science quiz: 78, 85, 92, 88, 73, 67, 94, 80, 76. a) Calculate the mean. b) Find the standard deviation. c) Calculate the z-score for 67.

Which statement is true about a dataset with a small standard deviation?

• The data points are very spread out from the mean.

• The mean must be large.

• The data points are close to the mean.

• The dataset has extreme outliers.

If a dataset has a high standard deviation, this tells you:

• Most values are clustered near the mean.

• The values vary widely from the mean.

• The mean is unusually low.

• All values are identical.

A student has a z-score of -1.8 on a test. This means:

• The score is below the mean by 1.8 standard deviations.

• The score is above the mean by 1.8 standard deviations.

• The score equals the mean.

• The score is the lowest in the class.

Which of the following is true about a dataset with SD = 0?

• All the values are the same.

• The data is widely spread out.

• The mean is very high.

• The data is normally distributed.