If the average of 4 numbers is 20 and the average of 6 numbers is 30, what is th

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Question: If the average of 4 numbers is 20 and the average of 6 numbers is 30, what is the average of all 10 numbers?

Options:

Correct Answer: 25

Solution:

Total of 4 numbers = 4 * 20 = 80. Total of 6 numbers = 6 * 30 = 180. Combined total = 80 + 180 = 260. Average = 260 / 10 = 26.

If the average of 4 numbers is 20 and the average of 6 numbers is 30, what is the average of all 10 numbers?

If the average of 4 numbers is 20 and the average of 6 numbers is 30, what is the average of all 10 numbers?

Step 1: Calculate the total of the first 4 numbers. Since their average is 20, multiply 20 by 4. This gives you 80.
Step 2: Calculate the total of the next 6 numbers. Since their average is 30, multiply 30 by 6. This gives you 180.
Step 3: Add the total of the first 4 numbers (80) to the total of the next 6 numbers (180). This gives you a combined total of 260.
Step 4: To find the average of all 10 numbers, divide the combined total (260) by the total number of numbers (10). This gives you an average of 26.

Averages – Understanding how to calculate the average from a set of numbers and how to combine averages from different groups.
Total Calculation – Calculating the total sum of numbers based on their average and the number of items.