Appendix 2: Mathematical Modelling | A2.3

Question 1

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.

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Solution

We will use the average of past results to forecast future performance.

Step 1 — Gather Past Data

First, we need data from the past five years. Since no data is given, let's assume some values. These are the average percentages in Maths: Year 1: 78% Year 2: 80% Year 3: 79% Year 4: 82% Year 5: 81%

Step 2 — Calculate Average Percentage

We will add all the percentages together. Then, we will divide by the number of years. This gives us the average mark over five years.

=78+80+79+82+815= \frac{78 + 80 + 79 + 82 + 81}{5}

=4005= \frac{400}{5}

80%\boxed{80\%}

Answer

(i) Based on the past five years' data, the school can expect an average of 80% in Mathematics for the Class X board examination this year.

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