Question

1. Seven measurements of the length of a table in centimeters are 184.2, 181.4, 182.1, 184.2,...

1. Seven measurements of the length of a table in centimeters are

184.2, 181.4, 182.1, 184.2, 183.6, 183.7, and 182.4.

Find the standard deviation of the measurements. Enter answer in centimeters.

2. Seven measurements of the length of a table in centimeters are

182.3, 184.6, 183.8, 180.5, 184.8, 183.4, and 184.

Find the uncertainty in the average of the measurements. Enter answer in centimeters.

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Homework Answers

Answer #1

Solution:

1. Measurements are;

184.2, 181.4, 182.1, 184.2, 183.6, 183.7, and 182.4.

Arithmetic mean of the these numbers are,

  

The difference of the numbers from mean is given by,

  

  

  

Taking the square root of the average of the square of these differences gives us standard deviation.

  

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