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The cumulative frequency graph shows some information about the heights, in cm, of 60 students - Edexcel - GCSE Maths - Question 8 - 2017 - Paper 2

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The cumulative frequency graph shows some information about the heights, in cm, of 60 students. Work out an estimate for the number of these students with a height ... show full transcript

Worked Solution & Example Answer:The cumulative frequency graph shows some information about the heights, in cm, of 60 students - Edexcel - GCSE Maths - Question 8 - 2017 - Paper 2

Step 1

Estimate from the graph for heights greater than 160 cm

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Answer

To estimate the number of students with a height greater than 160 cm, first locate the height of 160 cm on the horizontal axis of the cumulative frequency graph.

From the graph, draw a vertical line at 160 cm until it intersects the cumulative frequency curve. Once you have this intersection point, follow the line horizontally to the left to the vertical axis to find the cumulative frequency value. Let's say it is approximately 50.

Since there are a total of 60 students, the number of students with a height greater than 160 cm can be calculated as:

6050=1060 - 50 = 10

Thus, we estimate that about 10 students are taller than 160 cm.

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