According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 p
ieces 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, 20.50, 18.92, 20.33, 23.00, 22.85,
19.25, 21.77, 22.11, 19.77, 18.04, 21.12,
Required:
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?