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Question

Contours in the bivariate (weight, height) graph connect regions of approximately equal popula-tions. Which of the following interpretations is correct?

The correct answer is
Taller and lighter individuals are more in number than taller and heavier individuals

The given graph is a contour plot representing the distribution of a population according to their height and weight. The contours connect regions of approximately equal population. Let's analyze the options:

  1. There is no correlation between height and weight of the population:

The contour lines suggest a relationship between height and weight. If there were no correlation, the contours would appear more random, without any particular trend.

  1. Heavier individuals are likely to be taller than lighter individuals:

While it might be a general assumption that taller individuals tend to be heavier, nothing in the contour plot suggests that this is a definitive conclusion, as the contour peaks are not aligned towards heavier weights for taller individuals.

  1. Taller and lighter individuals are more in number than taller and heavier individuals:

The contours show higher concentrations towards lighter weights, even as height increases. This suggests that there are more taller and lighter individuals compared to taller and heavier ones. Hence, this option is correct.

  1. There are no individuals of medium weight and medium height:

The contour plot does not support this conclusion as it shows the distribution of the population, including individuals of medium weight and height.

Therefore, the correct interpretation is that taller and lighter individuals are more in number than taller and heavier individuals.

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Important Questions from Data Interpetation (Notes)

  1. The population of a town over the years 2000-2007 is shown in the given figure.

    It can be inferred that during 2000-2007,

  2. The areas (in km²) under forests in four countries A, B, C and D for the years 2014 and 2024 are shown in the given bar chart:

    The minimum percentage of deforestation during 2014-2024 was in country

  3. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
  4. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
  5. The number of questions asked in shift I from the topic Profit-Loss is what percent more than the number of questions asked in shift II from the topic Average?
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