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 of 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

(a) Calculate the sample mean and median.

(b) Find the 10% trimmed mean.

(c) Find the lower and upper quartiles.

To calculate the sample mean, add up all the absorbency values and divide by the number of values (20). In this case, the sample mean is the average absorbency value of the cotton fiber samples.

To find the median, arrange the values in ascending order and locate the middle value. If there is an even number of values, take the average of the two middle values. In this case, the median is the middle value of the absorbency values.

To find the 10% trimmer mean, eliminate the lowest and highest 10% of values and calculate the mean of the remaining values. In this case, you would remove the two lowest and two highest absorbency values, and then find the mean of the remaining 16 values.

To find the lower quartile, sort the values in ascending order and find the median of the lower half. In this case, it is the median of the first 10 values.

To find the upper quartile, sort the values in ascending order and find the median of the upper half. In this case, it is the median of the last 10 values.

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