Problem 1BSC

Normal Quantite Plot Data Set 1 includes the heights of 40 randomly selected women. If you were to construct a histogram of those heights, what shape do you expect the histogram to have? If you were to construct a normal quantile plot of those heights, what pattern would you expect to see in the graph?

Answer :

Step 1 of 1 :

Normal Quantile Plot Data Set 1 includes the heights of 40 randomly selected women.

The data is given below.

147.6 |
163.6 |

148.7 |
163.7 |

150.8 |
163.7 |

151.5 |
164.2 |

153 |
164.9 |

153.5 |
165.4 |

155.7 |
165.5 |

156.2 |
165.6 |

156.4 |
165.9 |

157 |
166.3 |

158.5 |
166.6 |

159.1 |
166.7 |

159.4 |
168.3 |

159.6 |
168.6 |

159.8 |
169 |

160.5 |
169 |

161.1 |
170.2 |

161.3 |
170.9 |

161.6 |
172 |

163.1 |
175.7 |

C-I |
Frequency |

145-150 |
3 |

150-155 |
3 |

155-160 |
9 |

160-165 |
10 |

165-170 |
11 |

170-175 |
3 |

175-180 |
1 |

The graph is given below.

The heights of women are approximately normally distributed.

Then the histogram needs to have a rough bell shape.

Then the normal quantile plot has to be roughly linear.