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On the scatter diagram, circle the student that made the greatest improvement in their marks from January to February - OCR - GCSE Maths - Question 5 - 2021 - Paper 1
Question 5
On the scatter diagram, circle the student that made the greatest improvement in their marks from January to February. Work out the percentage change in this studen... show full transcript
Worked Solution & Example Answer:On the scatter diagram, circle the student that made the greatest improvement in their marks from January to February - OCR - GCSE Maths - Question 5 - 2021 - Paper 1
Step 1
On the scatter diagram, circle the student that made the greatest improvement in their marks from January to February.
Answer
To determine the student with the greatest improvement in marks, examine the scatter diagram. Identify the points that correspond to each student's marks in January (x-axis) and February (y-axis). The student that shows the largest vertical distance between the two points indicates the greatest improvement. For the given example, circled the point (30, 66).
Step 2
Work out the percentage change in this student's marks from January to February.
Answer
To calculate the percentage change, use the formula:
ext{Percentage Change} = rac{ ext{New Value} - ext{Old Value}}{ ext{Old Value}} imes 100Substituting in the values:
- Old Value (January marks) = 30
- New Value (February marks) = 66
The calculation is:
ext{Percentage Change} = rac{66 - 30}{30} imes 100 = rac{36}{30} imes 100 = 120\%