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The table gives information about the speeds of 70 cars - Edexcel - GCSE Maths - Question 8 - 2018 - Paper 3
Question 8
The table gives information about the speeds of 70 cars. Speed (s mph) Frequency 0 < s ≤ 10 14 10 < s ≤ 20 18 20 < s ≤ 30 26 30 < s ≤ 40 12 Dra... show full transcript
Worked Solution & Example Answer:The table gives information about the speeds of 70 cars - Edexcel - GCSE Maths - Question 8 - 2018 - Paper 3
Step 1
Draw a Frequency Polygon
Answer
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Identify Midpoints: First, calculate the midpoints of each speed interval to plot the points:
- For the interval 0 < s ≤ 10, the midpoint is (0 + 10) / 2 = 5.
- For the interval 10 < s ≤ 20, the midpoint is (10 + 20) / 2 = 15.
- For the interval 20 < s ≤ 30, the midpoint is (20 + 30) / 2 = 25.
- For the interval 30 < s ≤ 40, the midpoint is (30 + 40) / 2 = 35.
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Plot the Points: Using the midpoints and their corresponding frequencies:
- At speed 5 mph, plot a point at 14.
- At speed 15 mph, plot a point at 18.
- At speed 25 mph, plot a point at 26.
- At speed 35 mph, plot a point at 12.
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Connect the Points: Draw straight lines between the plotted points to create the frequency polygon. Make sure the first and last points are directly connected to the x-axis.
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Label Axes: Ensure that the x-axis is labeled as 'Speed (mph)' and the y-axis is labeled as 'Frequency'.
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Review the Drawing: Check that the polygon is drawn continuously and accurately represents the frequencies at each midpoint.