GROUPED FREQUENCY DISTRIBUTION EXAMPLE



GROUPED FREQUENCY DISTRIBUTION EXAMPLE

The blood glucose level, in milligrams per deciliter, for 60 patients is shown below. Construct a frequency distribution for the data set, using six classes.

|55 |115 |118 |114 |59 |109 |

|63 |97 |90 |59 |105 |81 |

|84 |81 |82 |61 |103 |77 |

|82 |76 |68 |86 |97 |80 |

|77 |85 |69 |62 |101 |83 |

|58 |83 |101 |86 |84 |78 |

|59 |92 |88 |97 |87 |92 |

|70 |86 |72 |84 |82 |84 |

|101 |80 |93 |56 |65 |91 |

|75 |78 |100 |74 |74 |90 |

Step 1: H = 118 L = 55

Step 2: R = 118 - 55 = 63

Step 3: Number of classes, say, 6.

Step 4: 63/6 = 10.5 or about 11

Step 5: Find lower limits, 55, 66, 77, 88, 99, 110

Steps 6 - 10

|Class Limits |Class Boundaries |f |Percent |cf |cf% |

| | | | | | |

|55 – 65 |54.5 -65.5 |10 |16.6 |10 |16.6 |

|66 - 76 |65.5 -76.5 |8 |13.3 |18 |29.9 |

|77 - 87 |76.5 - 87.5 |22 |36.7 |40 |66.6 |

|88 - 98 |87.5 - 98.5 |10 |16.6 |50 |83.2 |

|99 - 109 |98.5 - 109.5 |7 |11.7 |57 |94.9 |

|110 - 120 |109.5 - 120.5 |3 |5.0 |60 |99.9 |

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