If the average of 3 numbers is 15 and the average of 5 numbers is 25, what is th

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Question: If the average of 3 numbers is 15 and the average of 5 numbers is 25, what is the average of all 8 numbers?

Options:

Correct Answer: 23

Solution:

Total of 3 numbers = 3 * 15 = 45. Total of 5 numbers = 5 * 25 = 125. Combined total = 45 + 125 = 170. Average = 170 / 8 = 21.25, rounded to 22.

If the average of 3 numbers is 15 and the average of 5 numbers is 25, what is the average of all 8 numbers?

If the average of 3 numbers is 15 and the average of 5 numbers is 25, what is the average of all 8 numbers?

Step 1: Find the total of the first 3 numbers. Since their average is 15, multiply 15 by 3. This gives you 3 * 15 = 45.
Step 2: Find the total of the next 5 numbers. Since their average is 25, multiply 25 by 5. This gives you 5 * 25 = 125.
Step 3: Combine the totals from Step 1 and Step 2. Add 45 and 125 together. This gives you 45 + 125 = 170.
Step 4: Find the average of all 8 numbers. Divide the combined total from Step 3 by 8. This gives you 170 / 8 = 21.25.
Step 5: Round the average to the nearest whole number. 21.25 rounded is 22.

Averages – Understanding how to calculate the average of a set of numbers by summing the total and dividing by the count.
Total Calculation – Calculating the total of a group of numbers based on their average and the number of elements.