In the Western United States there is a saying, "Whisky is for drinken but water is for fighten!" Water and water rights have been fought over ever since ranchers and settlers moved into Wyoming, Montana, and the West. Even today farmers and ranchers fight cities and large developments over water from snowmelt that originates deep in the Rocky Mountains.

A river starts in a massive and beautiful lake. Then it flows through prime trout fishing areas to a famous waterfall. After it leaves the park, the river is an important source of water for wildlife, ranchers, farmers, and cities downstream. How much water does leave the park each year? The annual flow of the river (units10⁸cubicmeters) is shown here for19 recentyears.

25.9 32.4 33.1 19.1 17.5 24.9 21.0 45.1 30.8 34.3 27.1 29.1 25.6 31.5 23.2 24.1 23.9 25.918.6

d) Find a 75% Chebyshev interval around the mean. (Round your answers to two decimal places.)

Lower Limit

Upper Limit

(e) Give a five-number summary of annual water flow from the river.

minQ1medianQ3max

Interpret the five-number summary and the box-and-whisker plot. Where does the middle portion of the data lie?

The middle portion of the data are found to have an annual flow between a lower value ofand a higher value of.The total spread of annual flows goes from a lower value ofto a higher value of.

What is the interquartile range?

Can you find data outliers? (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)

(f) Another river is a smaller but very important source of water flowing out of the park from a different drainage. Ten recent years of annual water flow data are shown below (units10⁸cubicmeters).

3.83 3.81 4.01 4.84 5.81 5.50 4.31 5.81 4.31 4.27

Although smaller, is the new river more reliable? Use the coefficient of variation to make an estimate. (Round your answers to two decimal place.)

original river's coefficient of variation

smaller river's coefficient of variation