Find the number of standard deviations from the mean. Round tothe nearest hundre

Question

Find the number of standard deviations from the mean. Round tothe nearest hundredths. 1. The average size of forest fires last year was 868 acreswith a standard deviation of 171 acres. How many standarddeviations from the mean is a forest fire consuming 226 acres? Isit above or below the mean? Find the number of standard deviations from the mean. Round tothe nearest hundredths. 1. The average size of forest fires last year was 868 acreswith a standard deviation of 171 acres. How many standarddeviations from the mean is a forest fire consuming 226 acres? Isit above or below the mean?

Explanation / Answer

868 is the mean in this problem. If you subtract 3 standard deviations (3(171)) you get 355, which is greater than the number we’re looking for (226). Subtracting four standard deviations gives us 184, which is too low. If we take 355 and subtract 226, we get the difference between 3 standard deviations below and the number we’re looking for (226). This gives us 129. If we divide this number by our standard deviation (129/171), we find out how much of a standard deviation 226 is below an exact number of standard deviations (129/171 = .7543859649). Thus, 226 is 3.7543859649 standard deviations below the mean. The answer to the second part, then, is “below the mean.”

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