Question

1) The file “Blood Glucose Reading contains the blood glucose readings for February for a person recently diagnosed with Type 2 diabetes.

a) Find the arithmetic mean blood glucose reading.

b) Find the median blood glucose reading.

c) Find the mode blood glucose reading.

Blood Glucose Readings-

112 122 116 103    112 96    115    98    106 111

106    124    116 127    116    108    112 112 121    115

124 116 107    118    123    109    109    106

Answer 1

a. Arithmetic mean value is

b. The median is the middle number in a sorted list of numbers. So, to find the median, we need to place the numbers in value order and find the middle number.

Ordering the data from least to greatest, we get:

96   98   103   106   106   106   107   108   109   109   111   112   112   112   112   115   115   116   116   116   116   118   121   122   123   124   124   127   

As you can see, we do not have just one middle number but we have a pair of middle numbers, so the median is the average of these two numbers:

Median=

c. The mode of a set of data is the value in the set that occurs most often.

Ordering the data from least to greatest, we get:

96   98   103   106   106   106   107   108   109   109   111   112   112   112   112   115   115   116   116   116   116   118   121   122   123   124   124   127   

Since both 112 and 116 occur 4 times, the modes are 112 and 116 ( this data set is bimodal).