## Answers

The sample varince is given by

where

Thus , variance is

Standard deviation is

**Answer is**

**a) s= 2.749 , Var = 7.55**

Calculation :

x | (x-74)^2 | |

79 | 25 | |

70 | 16 | |

71 | 9 | |

76 | 4 | |

76 | 4 | |

74 | 0 | |

71 | 9 | |

75 | 1 | |

74 | 0 | |

74 | 0 | |

sum | 740 | 68 |

s2 = (ir - T)/(n -1)

} - 740/10 = 74

s2 2 =Σ(α – 7402/(10 – 1) = 68/9 = 7.55

s= V7.555 = 2.749

.
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