Line Graphs

Line Graphs

TGM Original Questions

The line graph below shows the population sizes of species A and species B in region R in one year.

  1. Find
    1. the greatest values of the population size of species A and B in region R this year and state the months when these values occur;
    2. the least values of the population size of species A and B in region R this year and state the months when these values occur; and
    3. the number of months when the population size of species A is less than 5,000 in region R this year.
  2. Express the least value of the population size of species A as a percentage of the greatest value of its population size in region R this year, correcting your answer to \(3\) significant figures.
  3. State one advantage and one disadvantage, respectively, of the drawing of the graph above, where the vertical axis does not start from zero.
  4. Biologists state that the relationship between species A and species B in region R may be either predation (one being the food of the other) or mutualism (mutually beneficial). From the statistical diagram above, which relationship do you think is more probable? Briefly state your reasons.

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Answer:(i)(a) Species A: \(7000\) in June, Species B: \(10{,}800\) in January (i)(b) Species A: \(4000\) in December, Species B: \(8400\) in July (i)(c) \(6\) months (ii) \(57.1\%\) (iii) Advantage: small fluctuations are easier to see. Disadvantage: the fluctuations may appear exaggerated (iv) Predation is more probable

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