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5 (d) (i) Kai is 8 years old - OCR - GCSE Maths - Question 6 - 2023 - Paper 5
Question 6
5 (d) (i) Kai is 8 years old. By drawing a line of best fit, estimate Kai's height. (d)(i) ............................................................... m [2] (i... show full transcript
Worked Solution & Example Answer:5 (d) (i) Kai is 8 years old - OCR - GCSE Maths - Question 6 - 2023 - Paper 5
Step 1
Kai is 8 years old. By drawing a line of best fit, estimate Kai's height.
Answer
To estimate Kai's height, first, create a graph plotting the age of the children against their respective heights and draw a line of best fit through the points. Locate the age of 8 years on the x-axis, and find the intersection on the line of best fit to determine Kai’s estimated height. Ensure that the line accurately represents the trend of the data. The estimated height for an 8-year-old should be provided in meters.
Step 2
Describe an assumption you have made in giving your answer to part (d)(i).
Answer
An assumption made in estimating Kai's height is that the relationship between age and height is linear and that the line of best fit accurately reflects the correlation within the sample data used. This implies that the height of an 8-year-old can be inferred from the height data of the children represented in the graph.
Step 3
Explain why using this data to estimate the height of a child that is 17 years old may be unreliable.
Answer
Using the data to estimate the height of a 17-year-old may be unreliable because the dataset may not include enough data points for older children, especially since growth patterns can vary significantly after a certain age. Additionally, the relationship between age and height may not remain linear as children approach adulthood, leading to potential inaccuracies in the estimate.