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(a) Is there a guaranteed amount of water farmers, ranchers, and cities will get from the river each year? O Yes, flows occur at
(a) Is there a "guaranteed" amount of water farmers, ranchers, and cities will get from the river each year? O Yes, flows occur at a constant rate. O No, annual flows change at a steady rate from year to year. Yes, flows occur at the same rate at corresponding times throughout the year. O Yes, flows average out to the same value across each year. No, annual flows are a random variable. (b) What is the "expected" annual flow from the snowmelt? Find the mean, median, and mode. (Round your answers to two decimal places.) 27.01 mean median 25.90 mode 25.90 (c) Find the range and standard deviation of annual flow. (Round your answers to two decimal places.) range standard deviation 27.60 6.61 (d) Find a 75% Chebyshev interval around the mean. (Round your answers to two decimal places.) Lower Limit 13.79 Upper Limit 40.23 (e) Give a five-number summary of annual water flow from the river. min 17.5 Q1 232 Make a box-and-whisker plot. median 25.90 Q3 maxx 31.50 45.10 45 33 45- 40 31 40 35 25 29 30 35 20 20 15 25 15 21- 10+ 10- 20 19 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 [ to a higher value of and a higher value of The total spread of 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 What do you conclude? ONeither river is more consistent. The smaller river is more consistent. O The original river is more consistent.
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