If the distribution of IQ scores is bell-shaped, with a mean of 100 and a standard deviation of 15,

Discussion in 'Calculator Requests' started by math_celebrity, Feb 16, 2022.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If the distribution of IQ scores is bell-shaped, with a mean of 100 and a standard deviation of 15, then approximately ____% of IQ scores are less than 55?

    A bell-shaped curved implies a normal distribution. By using our empirical rule calculator, we see that:
    99.7% of all normal distribution values lie within 3 standard deviations of the mean.

    This means the percent of scores less than 55 which is 3 standard deviations away from the mean is:
    100% - 99.7% = 0.3%
     

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