Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68 - 95 - 99.7 rule.

Question

Mathematics

Josephine Molina

18 February, 14:23

Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean? Use the 68 - 95 - 99.7 rule.

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Noah Warner · Answer 1

16% of the individuals from this population will have LDL levels are 1 or more standard deviations above the mean.

Step-by-step explanation:

The 68-95-99.7 rule states that:

68% of the measures of a normally distributed sample are within 1 standard deviation of the mean. 34% of them above, 34% of them below.

What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?

Of the 50% of the measures that are above the mean, 34% are within 1 standard deviation. So 50-34 = 16% are 1 or more standard deviations above the mean.