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 of annual flows goes from a lower value of What is the interquartile range? to a higher value of and a higher value of The total spread of 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 (units 10 cubic meters). 3.83 3.81 4.01 4.84 5.81 5.50 4.31 5.81 4.31 4.67 Although smaller, is the new river more reliable? Use the coefficient of variation to make an estimate. (SALT may be helpful for performing part of this calculation. Round your answers to two decimal place.) original river's coefficient of variation smaller river's coefficient of variation 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 (units 108 cubic meters) is shown here for 19 recent years. 25.9 27.1 32.4 33.1 29.1 25.6 19.1 17.5 31.5 23.2 24.9 24.1 21.0 23.9 45.1 25.9 30.8 18.6 34.3 USE SALT Consider population data with = 20 and = 2. (a) Compute the coefficient of variation. 10 % (b) Compute an 88.9% Chebyshev interval around the population mean. Lower Limit Upper Limit Need Help? Read It Master It