Answer:
Indeed, factoring in the possible ± 10% error from the glucometer would result in her being below her target.
Explanation:
The recorded blood sugar levels were:
102 mg/dl
134 mg/dl
106 mg/dl
144 mg/dl
199 mg/dl
98 mg/dl
109 mg/dl
With n equaling 7,
The total (∑x) of these blood sugar levels = 102 + 134 + 106 + 144 + 199 + 98 + 109 = 892 mg/dl
To find her average: (Total of blood sugar levels) / (Number of recorded values)
Her average blood sugar for the week = (∑x) / n = 892 / 7 = 127.43 mg/dl
Her calculated average is 127.43 mg/dl, which exceeds 120 mg/dl
Considering the ± 10% error margin, the range for her average weekly blood sugar is from 127.43 × (1 - 0.1) to 127.43 × (1 + 0.1)
Her average range falls between 114.69 mg/dl and 140.17 mg/dl
As a result, since 114.69 mg/dl is less than 120 mg/dl, she is below her target.
