If the mean of a set of 10 numbers is 50, what is the mean if one number is incr

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Question: If the mean of a set of 10 numbers is 50, what is the mean if one number is increased by 10? (2021)

Options:

Correct Answer: 51

Exam Year: 2021

Solution:

The total sum is 500. Increasing one number by 10 gives a new total of 510. New mean = 510 / 10 = 51.

If the mean of a set of 10 numbers is 50, what is the mean if one number is increased by 10? (2021)

If the mean of a set of 10 numbers is 50, what is the mean if one number is increased by 10? (2021)

Step 1: Understand that the mean (average) of a set of numbers is calculated by adding all the numbers together and then dividing by how many numbers there are.
Step 2: Since the mean of the 10 numbers is 50, we can find the total sum of these numbers by multiplying the mean by the number of numbers: 50 (mean) * 10 (numbers) = 500.
Step 3: Now, if we increase one of the numbers by 10, we need to add 10 to the total sum. So, we take the original total sum of 500 and add 10: 500 + 10 = 510.
Step 4: To find the new mean, we divide the new total sum (510) by the number of numbers (10): 510 / 10 = 51.
Step 5: Therefore, the new mean after increasing one number by 10 is 51.

Mean Calculation – Understanding how to calculate the mean (average) of a set of numbers and how changes to individual numbers affect the overall mean.
Impact of Changes on Mean – Recognizing that increasing one number in a set will increase the total sum and thus affect the mean.