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Oil field pipes are internally coated in order to prevent corrosion. Researchers investigated the influence that coating may have on the surface roughness of oil field pipes. A scanning probe instrument was used to measure the surface roughness of each in a sample of 20 sections of coated interior pipe. The data (in micrometers) are provided in the table below.
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Complete parts a through c.
1.21 1.62 2.93 2.96 2.86 1.59 2.52 1.84 1.85 2.19 C2l 1.81 2.69 2.63 1.18 2.51 1.04 1.88 2.29 2.15 1.66 —1 a. Find and interpret the mean of the sample. = __ micrometers (Round to three decimal places as needed.)
Interpret the mean of the sample. Choose the correct answer below.
A. The mean is the value that occurs most often in the data set. B. Half of the values in the data set are greater than the value of the mean. C. The mean is the value of the average roughness in the data set.
b. Find and interpret the median of the sample.
m = __ micrometers (Round to three decimal places as needed.)
Interpret the median of the sample. Choose the correct answer below.
A. Half of the values in the data set are greater than the value of the median. B. The median is the value that occurs most often in the data set. C. The median is the value of the average roughness in the data set.
c. Which measure of central tendency (the mean or the median) best describes the surface roughness of the sampled pipe sections? Explain. A. The two values are nearly the same, so either of them could be used to best describes the roughness of the sampled pipe sections. B.
The median should be used to describe the roughness of the sampled pipe sections because it is most descriptive of the “center” of the data set. C. The mean should be used to describe the roughness of the sampled pipe sections because it is most descriptive of the “center” of the data set. D. Neither the mean nor the median are descriptive of the “center” of the data set.
