Radon is a naturally occurring gas and is die second leading cause of lung cance

Question

Radon is a naturally occurring gas and is die second leading cause of lung cancer in the United States.^8 It comes from the natural breakdown of uranium in the soil and enters buildings through cracks and other holes in the foundations. Found throughout the United States, levels vary considerably from state to state. There are several methods to reduce the levels of radon in your home, and the Environmental Protection Agency recommends using one of these if the measured level in your home is above 4 picocuries per liter. Four readings from Franklin County, Ohio, where the county average is 9.32 picocuries per liter, were 5.2, 13.8, 8.6, and 16.8. Find the mean step-by-step. That is, find the sum of the 4 observations and divide by 4. Find the standard deviation step-by-step. That is, find the deviation of each observation from the mean, square the deviations, then obtain the variance and the standard deviation. Example 2.7 shows the method.

Explanation / Answer

a)mean =(5.2+13.8+8.6+16.8)/4=44.4/4=11.1

b)

variance =80.84/(4-1) =80.84/3=26.95

std deviation =(variance)1/2=(26.95)1/2=5.19

x (X-mean) (X-mean)^2 5.2 -5.9 34.81 13.8 2.7 7.29 8.6 -2.5 6.25 16.8 5.7 32.49 total 44.4 80.84 mean=total/4 11.1

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