If approximately 68% of the scores lie between 40.7 and 59.9 , then the approximate value of the sta

Discussion in 'Calculator Requests' started by math_celebrity, Jan 16, 2018.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If approximately 68% of the scores lie between 40.7 and 59.9 , then the approximate value of the standard deviation for the distribution, according to the empirical rule, is

    The empirical rule states 68% of the values lie within 1 standard deviation of the mean. The mean is the midpoint of the interval above:

    (59.9 + 40.7)/2 = 50.3
    Standard deviation is the absolute value of the mean - endpoint
    |59.9 - 50.3| = 9.6
     

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