Question

The widths, in millimeters, of fabric produced at a ribbon factory are collected. The mean in approximately 23 millimeters and the standard deviation is approximately 0.06 millimeters. Interpret the mean and standard deviation in the context of the problem.

Answer 1

Kindly check explanation

Explanation:

Given that:

Mean width of fabric = 23 millimeters

Standard deviation = 0.06 millimeters

The mean width of fabric specified a ove represents the average length of the width of all fabrics being produced in the factory. The mean width could have been obtained by taking the average of the width length of all fabrics produced in the factory. This means that not all fabrics have a width of 23 millimeters but the average width length of all fabrics produced is 23 millimeters.

Since all fabrics do not have the same width length, the standard deviation helps us determine how dispersed or spread out the different widths of fabrics are from the mean value. With a low standard deviation value of 0.06 millimeters, it shows that the various widths of fabric are closer to mean value.