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: 21.95, 23.41, 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, 19.12 (a) Calculate the sample mean and median for the above sample values. (b) Compute the 15% trimmed mean. (c) Do a dot plot of the absorbency data.

The procedures to find the sample mean and median, 15% trimmed mean, and create a dot plot have been explained. The sample mean is the sum of all values divided by the total number of values. The median is the middle value of the ordered data. The 15% trimmed mean removes the lowest and highest 15% of values and calculates the mean of the remaining values. A dot plot provides a visual representation of data.

Explanation:

To answer the given question, we need to work out various statistical measures of the provided data. First, let's calculate the sample mean and median.

Sample mean, also known as the arithmetic average, is the sum of all the values divided by the total number of values.

After ordering the values from least to greatest, the median is the middle value. If there is an even number of observations, the median is the average of the two middle values.

Next, we will compute a 15% trimmed mean. This means we eliminate the lowest 15% and highest 15% of values and then calculate the mean of the remaining values.

Lastly, a dot plot is a visual representation of data. On the x-axis, we list the value and for each occurrence of that value, we mark a dot above it.

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