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    PracticeAQA GCSEAQA GCSE Maths Foundation Tier Paper 3 CalculatorQuestion 12.1
    Easy2 marksStructured
    StatisticsStatisticsScatter GraphsPlotting Data

    AQA GCSE · Question 12.1 · Statistics

    Running distances and time taken Time (min) 0 5 10 15 20 25 30 35 40 45 1 2 3 4 5 6 7 8 9 x x x x x x

    Liz records the distance of some runs and the time each run takes. The table and scatter graph show some of the information.
    Complete the graph by adding the missing label and plotting the two missing points.

    How to approach this question

    1. **Find the missing label:** Look at the table. The horizontal axis (x-axis) corresponds to the top row of the table. The label should be "Distance (km)". 2. **Identify the missing points:** Compare the data in the table with the points already plotted on the graph. The points for (3, 14), (4, 17), (5.5, 22), (6, 23), (6.5, 26), and (7, 31) are already there. The missing points are (8, 38) and (8.5, 42). 3. **Plot the first missing point (8, 38):** Find 8 on the horizontal axis and 38 on the vertical axis. Mark the point where these two lines would intersect. 4. **Plot the second missing point (8.5, 42):** Find 8.5 (halfway between 8 and 9) on the horizontal axis and 42 on the vertical axis. Mark the point where these two lines would intersect.

    Full Answer

    **Part 1: Adding the missing label** The vertical axis is labelled "Time (min)", which corresponds to the bottom row of the table. Therefore, the horizontal axis must correspond to the top row of the table, which is "Distance (km)". **Part 2: Plotting the missing points** We need to check which data pairs from the table are not on the graph. - (3, 14) - Plotted - (4, 17) - Plotted - (5.5, 22) - Plotted - (6, 23) - Plotted - (6.5, 26) - Plotted - (7, 31) - Plotted - **(8, 38) - Missing** - **(8.5, 42) - Missing** We need to plot these two points: - **To plot (8, 38):** Go along the horizontal axis to 8, then go up to 38 on the vertical axis. Place a cross at this position. - **To plot (8.5, 42):** Go along the horizontal axis to 8.5 (which is halfway between 8 and 9), then go up to 42 on the vertical axis. Place a cross at this position.

    Common mistakes

    ✗ Plotting the coordinates the wrong way around (e.g., plotting (38, 8) instead of (8, 38)). ✗ Misreading the scales on the axes. ✗ Forgetting to add the label for the x-axis.
    Question 11.2All questionsQuestion 12.2

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