The table below shows the number of bicycles sold each month by a shop.
MonthNumber of bicycles sold
January53
February150
March124
April76
May99
Which of the following bar graphs best represents the information shown in the table?

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Worked solution

13

1. Identify the highest and lowest values in the table to eliminate incorrect graphs.

From the table, the lowest number of bicycles sold is in January (5353) and the highest is in February (150150).

  • Graph (1) shows March as the highest. (Incorrect)
  • Graph (3) shows January as the highest. (Incorrect)

2. Compare the remaining graphs using relative proportions.

Comparing Graph (2) and Graph (4):
In Graph (2), the bar for January is taller than the bar for April. However, 53<7653 < 76, so January's bar must be shorter than April's bar. Thus, Graph (2) is incorrect.

In Graph (4), the heights are approximately proportional to the sales if 11 grid unit represents 5050 bicycles:

  • January: 53≈153 \approx 1 unit
  • February: 150=3150 = 3 units
  • March: 124≈2.5124 \approx 2.5 units
  • April: 76≈1.576 \approx 1.5 units
  • May: 99≈299 \approx 2 units

Graph (4) correctly represents the data.

Answer

Graph (4) (option 4)

AI analysis — may contain mistakes.

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