In a survey, the average age of a group of people is 40 years. If one person aged 60 leaves the group, what will be the new average age if the group originally had 10 members? (2023)
Practice Questions
1 question
Q1
In a survey, the average age of a group of people is 40 years. If one person aged 60 leaves the group, what will be the new average age if the group originally had 10 members? (2023)
38
39
40
41
Total age = 40 × 10 = 400. New total age = 400 - 60 = 340. New average = 340 / 9 = 37.78, which rounds to 38.
Questions & Step-by-step Solutions
1 item
Q
Q: In a survey, the average age of a group of people is 40 years. If one person aged 60 leaves the group, what will be the new average age if the group originally had 10 members? (2023)
Solution: Total age = 40 × 10 = 400. New total age = 400 - 60 = 340. New average = 340 / 9 = 37.78, which rounds to 38.
Steps: 6
Step 1: Find the total age of the group. Since the average age is 40 years and there are 10 members, multiply 40 by 10. Total age = 40 × 10 = 400.
Step 2: One person aged 60 leaves the group. Subtract 60 from the total age. New total age = 400 - 60 = 340.
Step 3: Now, there are 9 members left in the group (10 - 1 = 9).
Step 4: To find the new average age, divide the new total age by the number of remaining members. New average = 340 / 9.
Step 5: Calculate 340 divided by 9, which is approximately 37.78.
Step 6: Round 37.78 to the nearest whole number, which is 38.
