91影视

Female platelet counts are provided.

The mean female platelet count is equal to 255.1, and the standard deviation of the female platelet count is equal to 65.4.

Chebyshev鈥檚 theorem is applied to any dataset that approximately follows the bell-shaped probability distribution.

It explains that a minimum of $1-\frac{1}{K^2}$observations fall within K standard deviations of the mean of the data.

Thus, to compute the percentage of women that have a platelet count within K=3 standard deviations of the mean, the following calculation is done:

$$\begin{gathered} 1-\frac{1}{K^2}=1-\frac{1}{3^2} \\ =1-\frac{1}{9} \\ =\frac{8}{9} \end{gathered}$$

Therefore, $\frac{8}{9}$or approximately 89%of women have a platelet count within three standard deviations of the mean.

The limits become as follows:

$$\begin{gathered} 渭-3蟽=255.1-3\left(65.4\right) \\ =58.9 \\ 渭+3蟽=255.1+3\left(65.4\right) \\ =451.3 \end{gathered}$$

Thus, the maximum value of platelet count within these limits is equal to 451.3, and the minimum value of platelet count within these limits is equal to 58.9.