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26 April, 08:47

Calculate the average value for the following experimentally determined numbers: 2.78,2.53,2.36,2.81, and 2.37. (b) If the standard value is 2.66, what is the percent error in your measurement? All numbers have units of cm.

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  1. 26 April, 09:16
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    - the average value for the experimentally determined numbers is 2.57 cm

    - the percent error in the measurement is 3.4%

    Explanation:

    Given information:

    experimentally determined numbers = 2.78,2.53,2.36,2.81, 2.37

    standard value = 2.66

    (a) the average value

    average value = (2.78+2.53+2.36+2.81+2.37) / 5

    = 12.85/5

    = 2.57 cm

    (b) the percent error in the measurement

    %error = (average value - standard value/standard value) x100%

    = (2.57 - 2.66/2.66) x100%

    = 0.034 x 100%

    = 3.4%
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