In a survey, the average age of a group of people is 30 years. If one person aged 40 leaves the group, what will be the new average age if the group originally had 10 people? (2023)
Practice Questions
1 question
Q1
In a survey, the average age of a group of people is 30 years. If one person aged 40 leaves the group, what will be the new average age if the group originally had 10 people? (2023)
28
29
30
31
New total age = (30 × 10) - 40 = 260. New average = 260 / 9 = 28.89, which rounds to 29.
Questions & Step-by-step Solutions
1 item
Q
Q: In a survey, the average age of a group of people is 30 years. If one person aged 40 leaves the group, what will be the new average age if the group originally had 10 people? (2023)
Solution: New total age = (30 × 10) - 40 = 260. New average = 260 / 9 = 28.89, which rounds to 29.
Steps: 5
Step 1: Find the total age of the original group. Since the average age is 30 and there are 10 people, multiply 30 by 10. This gives you 300.
Step 2: One person aged 40 leaves the group. Subtract 40 from the total age you found in Step 1. So, 300 - 40 equals 260.
Step 3: Now, the group has 9 people left (10 - 1 = 9).
Step 4: To find the new average age, divide the new total age (260) by the new number of people (9). So, 260 divided by 9 equals approximately 28.89.
Step 5: Round 28.89 to the nearest whole number, which is 29.
