Bar Graphs

Bar Graphs

TGM Original Questions

The bar graph below shows the average height of boys and girls of a country aged from \(9\) to \(18\).

  1. Using the data from the bar graph above, complete the table below, which shows the difference between the average height of boys and girls aged from \(9\) to \(18\).
Age9101112131415161718
Difference (cm)1-110111112
  1. State one advantage and one disadvantage, respectively, of the drawing of the graph above, where the vertical axis does not start from zero.
  2. Hence complete the line graph below.
    List item image
  3. State a trend you find from the average height of boys and girls of the country aged from \(9\) to \(18\).

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Answer:(i) Ages \(11,12,13,14\): \(-2,-1,3,7\text{ cm}\) (ii) Advantage: small differences are easier to see. Disadvantage: the differences may appear exaggerated (iii) Plot \((9,1),(10,-1),(11,-2),(12,-1),(13,3),(14,7),(15,10),(16,11),(17,11),(18,12)\) (iv) Girls are taller at ages \(10\)–\(12\); boys are taller at age \(9\) and ages \(13\)–\(18\), with an overall widening difference from age \(13\)

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