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$$ \displaylines{---} $$

$$ \displaylines{Mean = \frac{\sum_{i=1}^{n}x_{i}}{n}
\\ \\ \,=\frac{2+4+6+7+8}{5}
\\ \\ \,=\frac{27}{5}
\\ \\Mean = 5.4
} $$

$$ x $$ | $$ \bar{x} $$ | $$ x-\bar{x} $$ | $$ [x-\bar{x}]^{2} $$ |
---|---|---|---|

$$ 2 $$ | $$ 5.4 $$ | $$ -3.4 $$ | $$ 11.56 $$ |

$$ 4 $$ | $$ 5.4 $$ | $$ -1.4 $$ | $$ 1.96 $$ |

$$ 6 $$ | $$ 5.4 $$ | $$ 0.6 $$ | $$ 0.36 $$ |

$$ 7 $$ | $$ 5.4 $$ | $$ 1.6 $$ | $$ 2.56 $$ |

$$ 8 $$ | $$ 5.4 $$ | $$ 2.6 $$ | $$ 6.76 $$ |

$$ Total $$ | $$ $$ | $$ $$ | $$ 23.2 $$ |

$$ \displaylines{} $$

$$ \displaylines{Sample \;variance = (\sigma)^{2} = \frac{\sum_{i=0}^{n}(x_{i}-\bar{x})^{2}}{n-1}
\\ \\ \Rightarrow
\frac{23.2}{4}
\\ \\ \Rightarrow
5.8
\\ \\ \sigma = \sqrt{variance}
\\ \\ \Rightarrow
\mathbf{\color{Red}{2.408319}}
} $$