Using the Empirical Rule, it is found that the standard deviation of the sample is of:
C. 4
By the Empirical Rule, 95% of the measures are within 2 standard deviations of the mean, that is, between 2 standard deviations below the mean and 2 standard deviations above the mean.
95% of people's heights are between 168 and 184 centimeters, hence, there are 4 standard deviations between 168 and 184 centimeters. Then:
[tex]4s = 184 - 168[/tex]
[tex]4s = 16[/tex]
[tex]s = \frac{16}{4}[/tex]
[tex]s = 4[/tex]
Hence, option C is correct.
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