If the average of 10 numbers is 50 and the average of another 10 numbers is 60,

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Question: If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?

Options:

Correct Answer: 55

Solution:

Total of first 10 numbers = 10 * 50 = 500. Total of second 10 numbers = 10 * 60 = 600. Combined total = 500 + 600 = 1100. Average = 1100 / 20 = 55.

If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?

If the average of 10 numbers is 50 and the average of another 10 numbers is 60, what is the average of all 20 numbers?

Correct Answer: 55

Step 1: Calculate the total of the first 10 numbers. Since the average is 50, multiply 10 by 50. This gives you 500.
Step 2: Calculate the total of the second 10 numbers. Since the average is 60, multiply 10 by 60. This gives you 600.
Step 3: Add the two totals together. 500 (from the first group) + 600 (from the second group) equals 1100.
Step 4: To find the average of all 20 numbers, divide the combined total (1100) by the total number of numbers (20). This gives you 55.

Averages – Understanding how to calculate the average of a set of numbers by using the total sum and the count of numbers.
Total Calculation – Calculating the total of a group of numbers based on their average and the number of items in the group.