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

Look at this set of 10 numbers:

How would the mode change if the number 2 replaced one of the 3's in the set?

increase

decrease

no change

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Learn with an example

question

Look at this set of 9 numbers:

How would the mean change if the number 45 replaced the number 72 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 72 with the number 45. Since 45 is less than 72, the mean will decrease.

You can check your answer by doing the calculations.

Find the original mean. There are 9 numbers. Add up the numbers and divide by 9.

(61 + 72 + 58 + 58 + 42 + 58 + 44 + 35 + 58) ÷ 9 = 54

The original mean is 54.

Now replace 72 with 45 and find the new mean. Add up the numbers and divide by 9.

(61 + 45 + 58 + 58 + 42 + 58 + 44 + 35 + 58) ÷ 9 = 51

The new mean would be 51.

The mean would decrease from 54 to 51.

Looking for more? Try these:

Lesson: Mean, median, mode, and range

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JJ.2Calculate mean, median, mode, and range

Lesson: Mean, median, mode, and range

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