Question 1.57

1.57 Outlier for alcohol content of beer.

beer

Refer to the previous exercise.

  1. Calculate the mean with and without the outlier. Do the same for the median. Explain how these values change when the outlier is excluded.
  2. Calculate the standard deviation with and without the outlier. Do the same for the quartiles. Explain how these values change when the outliers are excluded.
  3. Write a short paragraph summarizing what you have learned in this exercise.

1.57

(a) With the outlier: . . Without the outlier: . . The values are nearly identical with and without the outlier. (b) With the outlier: . . . Without the outlier: . . . The values are nearly identical with and without the outlier. (c) Even though there is one outlier, its removal does not change the numerical summaries at all. This is partly due to the large sample and partly due to the fact that this outlier is not too far from the other observations, so removing it doesn—t have a huge effect on the analysis.