Question

The American Diabetes Association recommends a blood glucose reading of less than 130 for those with Type 2 diabetes. Blood glucose measures the amount of sugar in the blood. Below are the readings for February for a person recently diagnosed with Type 2 diabetes.

102 | 126 | 113 | 97 | 112 | 126 | 109 | 105 | 124 | 110 | |

105 | 96 | 106 | 117 | 126 | 106 | 123 | 109 | 114 | 99 | |

114 | 109 | 120 | 109 | 109 | 99 | 113 | 104 | |||

Click here for the Excel Data File

**a.** What is the arithmetic mean glucose reading?
**(Round your answer to 2 decimal places.)**

**b.** What is the median glucose reading?
**(Round your answer to 1 decimal place.)**

**c.** What is the modal glucose reading?

Answer #1

Here, we have given that

X: Blood glucose reading less than 130 for those persons with type 2 diabetes.

X (Blood Glucose Reading) |

102 |

126 |

113 |

97 |

112 |

126 |

109 |

105 |

124 |

110 |

105 |

96 |

106 |

117 |

126 |

106 |

123 |

109 |

114 |

99 |

114 |

109 |

120 |

109 |

109 |

99 |

113 |

101 |

n=number of observations =28

(A)Now, we want to find the arithmetic mean of glucose reading

=110.68

average =110.68

(B)

Now, we want to find the median

we know that, here we have total 28 observation means it is event number

then median is the average of the middle two number after
sorting of the data (X)

Median = 109+109/2 =109

Median =109

(C)

Here,

109 value of glucose reading occur 5 times and also 114,113 occur two time which make this model as Bi-model.

The American Diabetes Association recommends a blood glucose
reading of less than 130 for those with Type 2 diabetes. Blood
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102
105
97
115
124
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111
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113
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123
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111
109
112
96
127
122
108
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112
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115
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Click here for the Excel Data File
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