The average age of 35 students in a class is 16 years. The average age of 21 students is 14. What is the average age of remaining 14 students?
Answers
Answer:
The average of ages of remaining 14 students is 19 years
Step-by-step explanation:
according to 1st given condition
average = sum of all observations / no. of observations
16 = sum of all observations / 35
16 x 35 = sum of all observations
560 = sum of all observation
∴ sum of ages of 35 students is 560 years i
according to 2nd given condition
average = sum of all observations / no. of observations
14 = sum of all observations / 21
14 x 21 = sum of all observations
294 = sum of all observation
∴ sum of ages of 21 students is 294 years ii
∴ sum of ages of remaining 14 students = 560 - 294
= 266
average = sum of all observations / no. of observations
= 266 / 14
= 19
∴ the average of ages of remaining 14 students is 19 years