Average Concepts D75Db2
1. Let's start by stating the problem: Understanding the concept of average, which is crucial for CLAT level questions.
2. The average (or mean) of a set of numbers is calculated by summing all the numbers and then dividing by the count of numbers. The formula is:
$$\text{Average} = \frac{\text{Sum of all values}}{\text{Number of values}}$$
3. Important rules to remember:
- If you know the average and the number of values, you can find the total sum by multiplying them.
- When a new value is added or removed, the average changes accordingly.
4. Example: Suppose you have 5 numbers with an average of 20. The total sum is:
$$\text{Sum} = 20 \times 5 = 100$$
If a 6th number, say 30, is added, the new average becomes:
$$\text{New average} = \frac{100 + 30}{6} = \frac{130}{6} = 21.67$$
5. This concept helps solve many CLAT questions involving averages, totals, and changes in data sets.
6. Always carefully read the problem to identify what is given and what is asked, then apply the average formula accordingly.