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

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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

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.