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The cumulative frequency table gives information about the heights, in cm, of 40 plants - Edexcel - GCSE Maths - Question 13 - 2021 - Paper 1
Question 13
The cumulative frequency table gives information about the heights, in cm, of 40 plants. | Height (h cm) | Cumulative Frequency | |---------------------|-----... show full transcript
Worked Solution & Example Answer:The cumulative frequency table gives information about the heights, in cm, of 40 plants - Edexcel - GCSE Maths - Question 13 - 2021 - Paper 1
Step 1
Draw the cumulative frequency graph
Answer
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Plot the points derived from the cumulative frequency table:
- For , plot (5, 4)
- For , plot (10, 11)
- For , plot (15, 24)
- For , plot (20, 34)
- For , plot (25, 38)
- For , plot (30, 40)
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Connect the points with a smooth curve. Ensure the graph continues to the last point without ending abruptly and does not fall below the x-axis.
Step 2
Use the graph to find an estimate for the median height of the plants
Answer
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The median is located at the cumulative frequency value of half the total number of plants. Since there are 40 plants, the median corresponds to the cumulative frequency of 20.
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Locate the point on the cumulative frequency graph where the cumulative frequency is 20 and draw a horizontal line to intersect the graph.
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Draw a vertical line down to the x-axis from the intersection point. The value on the x-axis gives the estimated median height of the plants.
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The estimated median height is approximately in the range of 13 to 14 cm.