Group Spending Details
Information provided for the three groups:
- Group A: 52 members, Average spending = ₹420
- Group B: 22 members, Average spending = ₹437
- Group C: 36 members, Average spending = ₹101
Calculating Total Spending for Each Group
To find the overall average, we first calculate the total amount spent by each group:
- Total spent by Group A = Number of members $\times$ Average spending
$52 \times 420 = 21840$ - Total spent by Group B = Number of members $\times$ Average spending
$22 \times 437 = 9614$ - Total spent by Group C = Number of members $\times$ Average spending
$36 \times 101 = 3636$
Overall Average Spending Calculation
The overall average spending is calculated using the formula for weighted average:
Overall Average = $\frac{\text{Total amount spent by all groups}}{\text{Total number of members}}$
Step 1: Calculate the total amount spent by all members.
Total Amount = Total spent by A + Total spent by B + Total spent by C
Total Amount = $21840 + 9614 + 3636 = 35090$
Step 2: Calculate the total number of members.
Total Members = Members in A + Members in B + Members in C
Total Members = $52 + 22 + 36 = 110$
Step 3: Calculate the overall average spending per member.
Overall Average = $\frac{35090}{110}$
Overall Average = $319$
Therefore, the overall average amount spent per member is ₹319.
Important Questions from Average (Notes)
- The average age of a group of boys and girls is 18 years. If the average age of boys is 20 years and that of girls is 15 years, then what is the percentage of boys in the group?
- The average of 13 numbers is 8. If each number is multiplied by 7, then what will the new average be:
- There are 78 members in group A, 22 members in group B and 34 members in group C. All the members of these groups went to a restaurant. The average amounts spent on each member of groups A, B and C are ₹136, ₹383 and ₹457, respectively. The overall average amount (in ₹) spent per member is:
- If the average of p numbers is $q^2$ and that of q numbers is $p^2$, then the average of (p + q) numbers is :
- The average of 101 consecutive odd numbers is 303. Find the largest number.
