The mean of a set of numbers is 25. If one number is increased by 5, how does th
Practice Questions
Q1
The mean of a set of numbers is 25. If one number is increased by 5, how does the mean change?
Increases by 1
Increases by 0.5
Remains the same
Decreases by 1
Questions & Step-by-Step Solutions
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).
