If the average of 8 numbers is 20 and the average of another 4 numbers is 30, wh

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Question: If the average of 8 numbers is 20 and the average of another 4 numbers is 30, what is the average of all 12 numbers?

Options:

Correct Answer: 24

Solution:

Total of first 8 numbers = 8 * 20 = 160. Total of next 4 numbers = 4 * 30 = 120. Combined total = 160 + 120 = 280. Average = 280 / 12 = 23.33.

If the average of 8 numbers is 20 and the average of another 4 numbers is 30, what is the average of all 12 numbers?

If the average of 8 numbers is 20 and the average of another 4 numbers is 30, what is the average of all 12 numbers?

Step 1: Calculate the total of the first 8 numbers. Since the average is 20, multiply 20 by 8. This gives you 8 * 20 = 160.
Step 2: Calculate the total of the next 4 numbers. Since the average is 30, multiply 30 by 4. This gives you 4 * 30 = 120.
Step 3: Add the total of the first 8 numbers (160) and the total of the next 4 numbers (120) together. This gives you 160 + 120 = 280.
Step 4: To find the average of all 12 numbers, divide the combined total (280) by the total number of numbers (12). This gives you 280 / 12 = 23.33.

Averages – Understanding how to calculate the average from a set of numbers by using the total sum and the count of numbers.
Weighted Averages – Recognizing that different groups of numbers can have different averages and how to combine them.