# Range Rule of Thumb for Interpreting s The 20 brain volumes (cm^{3}) from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of 1126.0 cm^{3} an

Range Rule of Thumb for Interpreting s The 20 brain volumes $\left(c{m}^{3}\right)$ from Data Set 8 “IQ and Brain Size” in Appendix B have a mean of and a standard deviation of . Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. For such data, would a brain volume of be significantly high?
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Step 1
Range rule of thumb for identifying the significantly low or high values:
Significantly low values are identify by $\mu -2\sigma$. The values lower than or equal to this $\mu -2\sigma$ value are considered to be significantly low.
Significantly high values are identify by $\mu +2\sigma$. The values higher than or equal to this $\mu +2\sigma$ value are considered to be significantly high.
Step 2
Here, the significantly low and high values are calculated below:

Step 3
Thus, the given value of brain volume with $1,440c{m}^{3}$ is significantly high because it is greater than $1,374.8c{m}^{3}$.