Correct Answer - Option 1 : 44 year
Given:
The average age of 14 girls and their teacher's is 16 years.
If the teacher's age is excluded average reduces by 2
Concept:
Average = (Sum of all observation/number of observation)
Calculation:
The sum of age of 14 girls and their teacher's is
⇒ 15 × 16
⇒ 240 years
The sum of age of 14 girls is
⇒ 14 × (16 - 2)
⇒ 14 × 14
⇒ 196 years
Now,
The age of teacher's is
⇒ 240 - 196
⇒ 44 years
∴ The required age of the teacher's is 44 years.