Question

boxplot: blood sugar
a normal blood sugar range for someone without diabetes, 2 hours after eating, is less than 140 mg/dl.
james is concerned about his health and measures and records his blood sugar 4 times a day for a week.
the results are in the boxplot above.
what is the minimum blood sugar reading james measured?
mg/dl
what is the maximum blood sugar reading james measured?
mg/dl
twenty - five percent of james blood sugar readings fall below what value?
mg/dl
seventy - five percent of james blood sugar readings fall below what value?
mg/dl
what percent of james blood sugar readings are between 86 and 117?
%

Explanation:

Step1: Recall box - plot components

In a box - plot, the left - most whisker represents the minimum value, and the right - most whisker represents the maximum value. The first quartile ($Q_1$) is the value below which 25% of the data lies, the third quartile ($Q_3$) is the value below which 75% of the data lies, and the box represents the inter - quartile range (IQR) which contains 50% of the data.

Step2: Find the minimum

Looking at the box - plot, the left - most value (minimum) is 74.

Step3: Find the maximum

The right - most value (maximum) is 135.

Step4: Find the value for 25%

The first quartile ($Q_1$) value is 86.

Step5: Find the value for 75%

The third quartile ($Q_3$) value is 117.

Step6: Find the percentage between 86 and 117

The inter - quartile range (IQR) is from $Q_1$ to $Q_3$. Since $Q_1 = 86$ and $Q_3=117$, and the IQR contains 50% of the data.

Answer:

Minimum: 74 mg/dl
Maximum: 135 mg/dl
25% below: 86 mg/dl
75% below: 117 mg/dl
Between 86 and 117: 50%