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The table shows the ages and heights of 12 children - OCR - GCSE Maths - Question 5 - 2023 - Paper 5

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The table shows the ages and heights of 12 children. Age (years) 2 2 4 12 6 10 11 13 11 5 7 9 14 Height (m) 0.84 1.01 1.5 1.4 1.35 1.62 1.42 1.24... show full transcript

Worked Solution & Example Answer:The table shows the ages and heights of 12 children - OCR - GCSE Maths - Question 5 - 2023 - Paper 5

Step 1

Plot the points for the remaining four children.

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Answer

To plot the points for the remaining four children, we need to extract their ages and heights from the provided data:

  • Age: 11 years, Height: 1.24 m
  • Age: 5 years, Height: 1.26 m
  • Age: 7 years, Height: 1.68 m
  • Age: 9 years, Height: 1.68 m

These points should be plotted on the scatter diagram accordingly:

  • (11, 1.24)
  • (5, 1.26)
  • (7, 1.68)
  • (9, 1.68)

Make sure to position each point accurately based on the graph's axes.

Step 2

Describe the type of correlation shown in the completed scatter diagram.

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Answer

The scatter diagram shows a positive correlation between age and height. As the age increases, the height of the children also tends to increase. This correlation indicates that older children are generally taller than younger children. The points plotted follow an upward trend, suggesting a strong relationship between the two variables.

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