CLAT > Quantitative Techniques for CLAT > Tricks to solve problems based on Including/Excluding concept of Average
Tricks to solve problems based on Including/Excluding concept of Average Video Lecture - Quantitative Techniques for CLAT
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FAQs on Tricks to solve problems based on Including/Excluding concept of Average Video Lecture - Quantitative Techniques for CLAT
| 1. How can I use the Including/Excluding concept of Average to solve problems? |  |
Ans. The Including/Excluding concept of Average is used to find the average of a group of numbers when one or more numbers are included or excluded from the group. To solve problems using this concept, you need to follow these steps:
1. Determine the sum of all the numbers in the group, including the numbers that need to be included or excluded.
2. Determine the number of elements in the group, including the numbers that need to be included or excluded.
3. Subtract the sum of the excluded numbers from the sum of all the numbers.
4. Subtract the number of excluded elements from the total number of elements.
5. Divide the result obtained in step 3 by the result obtained in step 4 to find the average.
| 2. What is the significance of the Including/Excluding concept of Average? | |
Ans. The Including/Excluding concept of Average is significant in solving problems where certain numbers need to be included or excluded from a group while calculating the average. It allows us to find the average of a specific subset of numbers within a larger set, providing more precise and relevant information. This concept is particularly useful in scenarios where certain data points need to be considered separately to analyze their impact on the overall average.
| 3. Can you provide an example problem that demonstrates the usage of the Including/Excluding concept of Average? | |
Ans. Sure! Let's consider an example:
A class has 10 students, and their test scores are as follows: 80, 85, 90, 95, 75, 85, 95, 90, 80, and 85. The teacher decides to exclude the two highest scores when calculating the average. What is the average test score for the class?
To solve this, we need to follow the steps mentioned earlier:
1. Sum of all numbers: 80 + 85 + 90 + 95 + 75 + 85 + 95 + 90 + 80 + 85 = 860.
2. Number of elements: 10.
3. Sum of excluded numbers: 95 + 95 = 190.
4. Number of excluded elements: 2.
5. Average = (860 - 190) / (10 - 2) = 670 / 8 = 83.75.
Therefore, the average test score for the class, excluding the two highest scores, is 83.75.
| 4. Is the Including/Excluding concept of Average applicable in real-life situations? | |
Ans. Yes, the Including/Excluding concept of Average is applicable in various real-life situations. For example, it can be used in sports to calculate a player's batting average by excluding their highest and lowest scores. In market research, it can be used to find the average price of a product by excluding outliers. This concept is also useful in financial analysis to determine the average return on investments after excluding exceptional gains or losses. The Including/Excluding concept of Average allows for more accurate analysis and decision-making in such scenarios.
| 5. What are some common mistakes to avoid while using the Including/Excluding concept of Average? | |
Ans. When using the Including/Excluding concept of Average, it is important to avoid the following common mistakes:
1. Forgetting to include or exclude the specified numbers from the calculation.
2. Miscounting the number of excluded elements or including them in the total count.
3. Failing to adjust the sum of excluded numbers from the sum of all numbers.
4. Dividing by the incorrect number of elements when finding the average.
5. Neglecting to double-check calculations, leading to incorrect results. It is crucial to be meticulous in the calculations involved in order to obtain accurate averages using the Including/Excluding concept.
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