Correct Answer - Option 1 : 100
Given
The average marks of a class in 20 papers = 160
Average of 18 papers after excluding highest and lowest marks = 162
Highest Marks = 184
Formula Used
Average = Sum of observation/No. of observation
Calculation
Total marks of the class in 20 papers = 160 × 20 = 3200
Total marks after excluding highest and lowest marks = 162 × 18 = 2916
So sum of the highest marks and the lowest marks will be = 3200 - 2916 = 284
Lowest marks will be = Sum of highest marks and the lowest marks – Highest marks
⇒ 284 – 184 = 100
∴ Lowest marks is 100