IXL | Changes in mean, median, mode, and range

Look at this set of 10 numbers:

How would the mean change if the number 36 replaced the number 56 in the set?

increase

decrease

no change

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Learn with an example

question

Look at this set of 10 numbers:

How would the mean change if the number 81 replaced the number 41 in the set?

increase

decrease

no change

key idea

The mean is the average of the numbers. You find the mean by adding the numbers together and then dividing by the number of numbers in the group.

solution

You can solve this problem without doing any calculations. You are replacing the number 41 with the number 81. Since 81 is greater than 41, the mean will increase.

You can check your answer by doing the calculations.

Find the original mean. There are 10 numbers. Add up the numbers and divide by 10.

(57 + 88 + 24 + 65 + 38 + 60 + 15 + 30 + 41 + 52) ÷ 10 = 47

The original mean is 47.

Now replace 41 with 81 and find the new mean. Add up the numbers and divide by 10.

(57 + 88 + 24 + 65 + 38 + 60 + 15 + 30 + 81 + 52) ÷ 10 = 51

The new mean would be 51.

The mean would increase from 47 to 51.

Looking for more? Try these:

Lesson: Mean, median, mode, and range

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Lesson: Mean, median, mode, and range

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