According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 pieces of cotton fiber was taken and the absorbency on each piece was measured. The following are the absorbency values:
|
18.71
|
21.41
|
20.72
|
21.81
|
19.29
|
22.43
|
20.17
|
|
23.71
|
19.44
|
20.5
|
18.92
|
20.33
|
23
|
22.85
|
|
19.25
|
21.77
|
22.11
|
19.77
|
18.04
|
21.12
|
|
(a) Calculate the sample mean and median for the above sample values.
(b) Compute the 10% trimmed mean.
(c) Do a dot plot of the absorbency data.
(d) Using only the values of the mean, median, and trimmed mean, do you have evidence of outliers in the data?