Question:
The average of five numbers is 12. What is their total sum?
The average of five numbers is 12. What is their total sum?
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Remember the relationship: Sum = Average \(\times\) Count. This is a fundamental concept in statistics and data analysis and appears frequently in competitive exams.
Updated On: Oct 4, 2025
- 60
- 48
- 54
- 72
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The Correct Option is A
Solution and Explanation
Step 1: Understanding the Concept
The average (or mean) of a set of numbers is their sum divided by the count of the numbers. This question asks for the reverse: to find the sum given the average and the count.
Step 2: Key Formula or Approach
The formula for the average is:
\[ \text{Average} = \frac{\text{Total Sum}}{\text{Number of Items}} \] To find the total sum, we can rearrange this formula:
\[ \text{Total Sum} = \text{Average} \times \text{Number of Items} \] Step 3: Detailed Explanation
We are given:
Average = 12
Number of Items = 5
Using the rearranged formula, we can calculate the total sum:
\[ \text{Total Sum} = 12 \times 5 \] \[ \text{Total Sum} = 60 \] Step 4: Final Answer
The total sum of the five numbers is 60.
The average (or mean) of a set of numbers is their sum divided by the count of the numbers. This question asks for the reverse: to find the sum given the average and the count.
Step 2: Key Formula or Approach
The formula for the average is:
\[ \text{Average} = \frac{\text{Total Sum}}{\text{Number of Items}} \] To find the total sum, we can rearrange this formula:
\[ \text{Total Sum} = \text{Average} \times \text{Number of Items} \] Step 3: Detailed Explanation
We are given:
Average = 12
Number of Items = 5
Using the rearranged formula, we can calculate the total sum:
\[ \text{Total Sum} = 12 \times 5 \] \[ \text{Total Sum} = 60 \] Step 4: Final Answer
The total sum of the five numbers is 60.
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