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 32.4 33.1 19.1 17.5 24.9 21.0 45.1 30.8 34.3 27.1 29.1 25.6 31.9 23.5 24.1 23.9 25.9 18.6 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 and a higher value of . The total spread of annual flows goes from a lower value of to 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 (units 108 cubic meters). 3.83 3.81 4.01 4.84 5.81 5.50 4.31 5.81 4.31 4.37 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 What do you conclude? Neither river is more consistent.The original river is more consistent. The smaller river is more consistent. (g) Based on the data, would it be safe to allocate at least 27 units of the orginal river water each year for agricultural and domestic use? Why or why not? No, the median is less than 27 which means more than half the river flows are below 27.No, Q3 is less than 27 which means more than three quarters of the river flows are below 27. No, since 27 is an upper outlier it will be very rare to have a flow at or above 27.Yes, Q1 is greater than 27 which means over three quarters of the river flows are at or above 27.Yes, since 27 is an lower outlier it will be very rare to have a flow below 27.
Unitary Method
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The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
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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 | 32.4 | 33.1 | 19.1 | 17.5 | 24.9 | 21.0 | 45.1 | 30.8 | 34.3 |
| 27.1 | 29.1 | 25.6 | 31.9 | 23.5 | 24.1 | 23.9 | 25.9 | 18.6 |
interpret the five-number summary and the box-and-whisker plot. Where does the middle portion of the data lie?
What is the
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 108 cubic meters).
| 3.83 | 3.81 | 4.01 | 4.84 | 5.81 | 5.50 | 4.31 | 5.81 | 4.31 | 4.37 |
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 |
What do you conclude?
(g) Based on the data, would it be safe to allocate at least 27 units of the orginal river water each year for agricultural and domestic use? Why or why not?
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