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.

110	103	120	111	106	105	99	114	106	104
124	119	108	117	99	110	106	127	115	108
121	110	99	124	111	96	106	120

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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

a. Arithmetic mean 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   99   99   99   103   104   105   106   106   106   106   108   108   110   110   110   111   111   114   115   117   119   120   120   121   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   99   99   99   103   104   105   106   106   106   106   108   108   110   110   110   111   111   114   115   117   119   120   120   121   124   124   127   

We see that the mode is 106 .