The average score for a Mathematics test in a class of students was 80. Later, it was discovered that the score of one student was wrongly recorded as 48 when it should be 98 marks. After correcting this score, the average score of the class increased to 82. How many students were there in the class? Ans: ___

1. Calculate the total increase in the sum of scores due to the correction

Increase in total score = $98 - 48 = 50$

2. Calculate the increase in the average score

Increase in average score = $82 - 80 = 2$

3. Determine the number of students in the class

Number of students = $\frac{\text{Total increase}}{\text{Increase in average}} = \frac{50}{2} = 25$