Question

2. Cherri Pitts brings in her morning blood sugar numbers over the last week for you to look at. They were 102 mg/dl, 134 mg/dl, 106 mg/dl, 144 mg/dl, 199mg/dl, 98 mg/dl and 109mg/dl. What is her average weekly blood sugar? Her goal was to be under 120 mg/dl. She was told her glucometer could have an error of +/- 10%. If she accounts for this possible error, would it put her under her goal?​

Answer 1

Yes accounting for the possible ± 10% glucometer error would put her under her goal

Step-by-step explanation:

The blood sugars numbers are;

102 mg/dl

134 mg/dl

106 mg/dl

144 mg/dl

199 mg/dl

98 mg/dl

109 mg/dl

The number of data values, n = 7,

The sum (∑x) of the average blood sugar numbers = 102 + 134+ 106 + 144 + 199 + 98 + 109 = 892 mg/dl

The average = (The sum of the average blood sugar numbers)/(The number of data values)

Her average weekly blood sugar level = (∑x)/n = 892/7 = 127.43 mg/dl

Her average weekly blood sugar level = 127.43 mg/dl > 120 mg/dl

Accounting for the ± 10% error, we have;

The range of her average weekly blood sugar level is 127.43 × (1 - 0.1) to 127.43 × (1 + 0.1)

Her average weekly blood sugar level range is from 114.69 m/dl to 140.17 m/dl

Therefore, since 114.69 m/dl < 120 m/dl, it puts her under her goal.