After a series of rainy days, a meteorologist wants to compare the average daily rainfall over the past week between two cities.
The daily rainfall totals, in inches, for both cities are given below. City A = 1.6, 3.8, 2.2, 0.4, 3.4, 2.6, 1.5
City B = 1.2, 4.5, 0.9, 3.6, 2.1, 1.1, 1.3
Which of the following statements are true regarding the data sets above?
I. The mean rainfall of city A is greater than the mean rainfall of city B.
II. The median rainfall of city B is half the median rainfall of city A.
III. The range of rainfall amounts for city A is greater than the range of rainfall amounts for city B.
IV. The median rainfall is less than the mean rainfall for both cities.
Assume a binomial distribution. Then the mean of the distribution is , where is the number of people taken in a sample and is the probability of the mutation occurring in any given person, and the standard deviation is . Then in this case, the standard deviation is .
