# Find out Mean Standard deviation from the following data.plzzz tell the right answer with proceederSize :0-2 2-4 4-6 6-8 8-10 10-12Frequency : 2 4 6 4 2 6

Class interval |
mid value x_{i} |
f_{i} |
f_{i}x_{i} |
f_{i}x_{i}^{2} |

0-2 | 1 | 2 | 2 | 2 |

2-4 | 3 | 4 | 12 | 36 |

4-6 | 5 | 6 | 30 | 150 |

6-8 | 7 | 4 | 28 | 196 |

8-10 | 9 | 2 | 18 | 162 |

10-12 | 11 | 6 | 66 | 726 |

f_{i}=24 |
f_{i}x_{i}=156 |
f_{i}x_{i}^{2}=1276 |

$\overline{X}=\frac{\Sigma {f}_{l}{x}_{i}}{\Sigma {f}_{i}}\phantom{\rule{0ex}{0ex}}=\frac{156}{24}\phantom{\rule{0ex}{0ex}}=6.5\phantom{\rule{0ex}{0ex}}\sigma =\sqrt{\frac{\Sigma {f}_{l}{{x}_{i}}^{2}}{\Sigma {f}_{i}}-{\overline{X}}^{2}}\phantom{\rule{0ex}{0ex}}=\sqrt{\frac{1276}{24}-6.{5}^{2}}\phantom{\rule{0ex}{0ex}}=\sqrt{53.17-42.25}\phantom{\rule{0ex}{0ex}}=\sqrt{10.92}\phantom{\rule{0ex}{0ex}}=3.30$

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