The mean of a set of numbers is 25. If one number is increased by 5, how does th

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Question: The mean of a set of numbers is 25. If one number is increased by 5, how does the mean change?

Options:

Correct Answer: Increases by 1

Solution:

Increasing one number by 5 increases the total sum by 5. If there are n numbers, the mean increases by 5/n.

The mean of a set of numbers is 25. If one number is increased by 5, how does the mean change?

The mean of a set of numbers is 25. If one number is increased by 5, how does the mean change?

Step 1: Understand that the mean (average) of a set of numbers is calculated by adding all the numbers together and then dividing by the total count of numbers.
Step 2: The mean of the original set of numbers is given as 25.
Step 3: When one number in the set is increased by 5, the total sum of all the numbers also increases by 5.
Step 4: If there are 'n' numbers in the set, the new mean will be calculated by taking the new total sum and dividing it by 'n'.
Step 5: The increase in the mean due to the increase of 5 in one number is 5 divided by the number of numbers (n).
Step 6: Therefore, the new mean will be 25 + (5/n).

Mean Calculation – Understanding how the mean is calculated and how changes to individual numbers affect the overall mean.
Impact of Changes on Mean – Recognizing that increasing a single number affects the total sum and subsequently the mean based on the number of elements.