91影视

The data given shows the total brain volume $\left({\text{cm}}^3\right)$of 20 identical twins.

The highest and the lowest volumes are equal to 1439${\text{cm}}^3$ and 963${\text{cm}}^3,$ respectively.

Standard deviation(s) can be estimated by the range rule of thumb, which says that one by four of the range of a set of values gives the estimated value of the standard deviation. Mathematically,

$s鈮�\frac{range}{4}$

Here, the range can be calculated by subtracting the minimum (or lowest) value from the maximum (or highest) value.

Substituting the values in the above formula,

.$$\begin{gathered} s鈮�\frac{1439-963}{4} \\ =\frac{476}{4} \\ =119.0 \end{gathered}$$

Thus, the estimated value of the standard deviation is 119${\text{cm}}^3$

It can be seen that the estimated value of the standard deviation equal to 119${\text{cm}}^3$ is quite close to the exact value of 124.9 ${\text{cm}}^3$. Thus, it is a good estimate.