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mestny
1 month ago
10

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?​
Health
1 answer:
Tatiana [1.4K]1 month ago
6 0

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.

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