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. 11.1 years.

Age of Best Actress When Oscar Was Won |
Frequency |

20–29 |
27 |

30–39 |
34 |

40–49 |
13 |

50–59 |
2 |

60–69 |
4 |

70–79 |
1 |

80–89 |
1 |

Problem 37BSC

Answer:

Step1 of 3:

We have standard deviation for frequency distribution

s =

Where,

x represents the class midpoint,

f represents the class frequency, and

n represents the total number of sample values.

Age of Best Actress When Oscar Was Won | Frequency |

20–29 | 27 |

30–39 | 34 |

40–49 | 13 |

50–59 | 2 |

60–69 | 4 |

70–79 | 1 |

80–89 | 1 |

Step2 of 3:

We need to find the standard deviation of sample data summarized in a frequency distribution table by using the formula below,also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values. 11.1 years.

Step3 of 3:

Consider,

...Age of Best Actress When Oscar Was Won | Frequency (f) | Mid point(x) | x2 | fx2 | fx |

20–29 | 27 | 24.5 | 600.25 | 16206.75 | 661.5 |

30–39 | 34 | =34.5 | 1190.25 | 40468.5 | 1173 |

40–49 | 13 | 44.5 | 1980.25 | 25743.25 | 578.5 |

50–59 | 2 | =54.5 |