Average of 36 results is 18. If 2 is subtracted from each result, then...
Average of 36 results = 18
∵ Sum of 36 results = 36 × 18 = 648
Let, new average = x
According to the problem,
⇒ 36x = 648 - 36 × 2
⇒ 36x = 648 - 72
⇒ 36x = 576
⇒ x = 16
∴ New average = 16
TRICK:
If same change is made in each of the Quantity then the same change also appears in the Average.
here for Example-
2 is subtracted from each Quantity than for final average we can directly subtract 2 from average to calculate final average
= 18 - 2 = 16
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Average of 36 results is 18. If 2 is subtracted from each result, then...
Given information:
- Average of 36 results is 18.
To find:
- The new average of the results after subtracting 2 from each result.
Solution:
To find the new average, we need to first find the sum of the results after subtracting 2 from each result, and then divide it by the total number of results.
Step 1: Find the sum of the results after subtracting 2 from each result
- Since the average is calculated by dividing the sum of the results by the total number of results, we can find the sum of the results by multiplying the average by the total number of results.
- In this case, the average is 18 and the total number of results is 36.
- So, the sum of the results before subtracting 2 from each result is 18 * 36 = 648.
Step 2: Find the sum of the results after subtracting 2 from each result
- To find the sum of the results after subtracting 2 from each result, we need to subtract 2 from each result and then find their sum.
- Since we have 36 results, we need to subtract 2 from each result 36 times.
- The sum of the results after subtracting 2 from each result is (648 - (2 * 36)) = 648 - 72 = 576.
Step 3: Find the new average
- To find the new average, we divide the sum of the results after subtracting 2 from each result by the total number of results.
- In this case, the sum of the results after subtracting 2 from each result is 576 and the total number of results is still 36.
- So, the new average is 576 / 36 = 16.
Therefore, the new average of the results after subtracting 2 from each result is 16. Hence, option B is the correct answer.