Mathematics
Based upon the data of the past five years, try and forecast the average percentage of marks in Mathematics that your school would obtain in the Class X board examination at the end of the year.
Mathematical Modelling
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Answer
For past five years average Mathematics marks in a school are :
2019 = 90%
2020 = 95%
2021 = 92%
2022 = 93%
2023 = 91%
Steps of construction :
- Plot the percentage on y-axis and years on x-axis.
- Plot the points.
- Construct the best fit line.
- For estimation of percentage in 2024, draw a straight line parallel to y-axis from point I = 2024 touching best fit line at point F from F draw a line parallel to x-axis touching y-axis at point J.
From graph,
J = 95.
Hence, at the end of the year marks obtained in class X mathematics will be 95%.
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