Problem 40BSC

Finding Standard Deviation from a Frequency Distribution. In Exercises,find the standard deviation of sample data summarized in a frequency distribution table by using the formula befaw, where x represents the class midpoint, f represents the class frequency, and n represents the total number ofsamph values. Aho, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: 9.7years.

Years President Lived after First Inauguration |
Frequency |

0–4 |
8 |

5–9 |
2 |

10–14 |
5 |

15–19 |
7 |

20–24 |
4 |

25–29 |
6 |

30–34 |
0 |

35–39 |
1 |

Solution 40BSC

From the given information, the frequency distribution of years President lived after first inauguration is

Years President Lived after first Inauguration |
Frequency |

0 – 4 |
8 |

5 – 9 |
2 |

10 – 14 |
5 |

15 – 19 |
7 |

20 – 24 |
4 |

25 – 29 |
6 |

30 – 34 |
0 |

35 – 39 |
1 |