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Mathematics, 03.07.2020 17:01 NightSun8890

You perform a study to determine the depth at which a species of submerged aquatic plant grows the fastest. You conduct the study in a natural lake that has a large population of the plant growing at various depths. You measure the growth rate of a subset of the plant population (five plants) growing at each depth. You find that at a depth of 0 to 49 cm, the plants grow at rates of 1.6, 0.8, 0.4, 1.1, and 1.3 cm/day. At 50 to 99 cm, plants grow at rates of 1.2, 1.4, 1.5, 1.6, 1.9 cm/day. At 100 to 149 cm, plants grow at rates of 1.9, 2.3, 2.2, 2.5, 2.3 cm/day. Finally, at 150 to 199 cm, plants grow at rates of 1.5, 1.3, 1.6, 1.7, 1.1 cm/day. At which depth do plants have the greatest variance in the rate at which they grow?

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