Question

Consider the given data set.

n = 12 measurements: 9, 8, 1, 3, 5, 5, 5, 4, 8, 5, 4, 0

1. Find the mean. 4.75

2. Find the standard deviation. (Round your answer to four decimal places.) 2.701

3. Find the z-score corresponding to the minimum in the data set. (Round your answer to two decimal places.)

   z =            

4. Find the z-score corresponding to the maximum in the data set. (Round your answer to two decimal places.)
   

       z =            

Multiple Choice

  5. Do the z-scores indicate that there are possible outliers in the data set?

1. Since the z-score for the smaller observation is larger than 2 in absolute value, the smaller value is unusually small. 

2. Since both z-scores exceed 2 in absolute value, both of the observations are unusual.

3. Since the z-score for the larger observation is larger than 2 in absolute value, the larger value is unusually large.

4. Since neither z-score exceeds 2 in absolute value, none of the observations are unusually small or large.