The mean of three numbers is 15. If one number is increased by 5, what will be t

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Question: The mean of three numbers is 15. If one number is increased by 5, what will be the new mean?

Options:

Correct Answer: 16

Solution:

New mean = (15*3 + 5) / 3 = 20/3 = 16.67.

The mean of three numbers is 15. If one number is increased by 5, what will be the new mean?

The mean of three numbers is 15. If one number is increased by 5, what will be the new mean?

Step 1: Understand that the mean (average) of three numbers is 15. This means that if you add the three numbers together and divide by 3, you get 15.
Step 2: Calculate the total of the three numbers. Since the mean is 15, the total is 15 * 3 = 45.
Step 3: One of the numbers is increased by 5. Let's call the original number 'x'. After increasing it, the new number becomes 'x + 5'.
Step 4: The new total of the three numbers is now 45 (original total) + 5 (increase) = 50.
Step 5: To find the new mean, divide the new total (50) by the number of numbers (3). So, new mean = 50 / 3.
Step 6: Calculate 50 / 3, which equals approximately 16.67.

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