With a mean of 5.4 days and a standard deviation of 3.2 days, use the 68-95-99.7 rule. Only 16% of those with symptomatic COVID-19 take how many more days to recover?

To compute the recovery time for the top 16% of individuals with symptomatic Covid-19, the sum of the mean recovery time and standard deviation is calculated – this gives a result of approximately 8.6 days.

Explanation:

The question refers to using the 69-95-99.7 empirical rule in statistics, also known as the three-sigma rule or bell curve. It implies that nearly all values (around 99.7%) lie within three standard deviations of the mean in a normal distribution.

According to the question, we have a mean of 5.4 days and a standard deviation of 3.2 days. To find the recovery time for the 16% exceeding the average recovery time, we'll look at the edge of ~16%, which is approximated by one standard deviation on the 68-95-99.7 rule below the mean.

So, the time taken by these top 16% of people to recover is the mean time plus one standard deviation, or 5.4 + 3.2 = 8.6 days.

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