If the average of 6 numbers is 50 and the average of another 4 numbers is 70, wh

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Question: If the average of 6 numbers is 50 and the average of another 4 numbers is 70, what is the average of all 10 numbers?

Options:

Correct Answer: 60

Solution:

Total of 6 numbers = 6 * 50 = 300. Total of 4 numbers = 4 * 70 = 280. Combined total = 300 + 280 = 580. Average = 580 / 10 = 58.

If the average of 6 numbers is 50 and the average of another 4 numbers is 70, what is the average of all 10 numbers?

If the average of 6 numbers is 50 and the average of another 4 numbers is 70, what is the average of all 10 numbers?

Step 1: Calculate the total of the first 6 numbers. Since the average is 50, multiply 6 by 50. This gives you 6 * 50 = 300.
Step 2: Calculate the total of the next 4 numbers. Since the average is 70, multiply 4 by 70. This gives you 4 * 70 = 280.
Step 3: Add the total of the first 6 numbers (300) and the total of the next 4 numbers (280) together. This gives you 300 + 280 = 580.
Step 4: To find the average of all 10 numbers, divide the combined total (580) by the total number of numbers (10). This gives you 580 / 10 = 58.

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