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The manager of a printing shop checks a chart that shows the thickness of different weights of paper in microns (thousandths of a millimeter) to ensure he uses the right settings on the printing machines. The pieces of paper are all between 100100 and 200200 microns thick, with most less than 160160 microns. The mean thickness is about 136136 microns, and the mean absolute deviation is about 2323 microns.\newlineWhich is a typical thickness of a piece of paper?\newlineChoices:\newline(A) 2323 microns\newline(B) 136136 microns\newline(C) 160160 microns\newline(D) 200200 microns\newline

Full solution

Q. The manager of a printing shop checks a chart that shows the thickness of different weights of paper in microns (thousandths of a millimeter) to ensure he uses the right settings on the printing machines. The pieces of paper are all between 100100 and 200200 microns thick, with most less than 160160 microns. The mean thickness is about 136136 microns, and the mean absolute deviation is about 2323 microns.\newlineWhich is a typical thickness of a piece of paper?\newlineChoices:\newline(A) 2323 microns\newline(B) 136136 microns\newline(C) 160160 microns\newline(D) 200200 microns\newline
  1. Identify Mean Thickness: Identify the mean thickness from the given data; the mean represents the typical value in a set of data. Calculation: Mean thickness =136= 136 microns.
  2. Compare Mean to Choices: Compare the mean thickness to the provided choices. Choices are: (A) 2323 microns, (B) 136136 microns, (C) 160160 microns, (D) 200200 microns. Since the mean thickness is 136136 microns, choice (B) matches the mean.
  3. Verify Mean Thickness Range: Verify if the mean thickness falls within the range of typical paper thicknesses mentioned (100100 to 200200 microns, mostly less than 160160 microns). Calculation: 100100 microns \leq 136136 microns \leq 160160 microns.

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