Question

The mean of a set of 5 numbers is 12. One of the numbers in the set is 16. If 16 is removed from the list, what is the new mean?

Answer 1

The new mean is 11

Step-by-step explanation:

The mean = sum of the numbers ÷ numbers

• The mean of a set of 5 numbers is 12
• One of the number is 16
• We need to find the new mean if 16 is removed from the set of numbers

∵ The set has 5 numbers

∵ The mean of the 5 numbers is 12

- Substitute these values in the rule of the mean above

∴ 12 = sum of the numbers ÷ 5

- Multiply both sides by 5

∴ 60 = sum of the numbers

∵ One of the number is 16

∵ 16 is removed from the set of the number

- Subtract 16 from the sum and the numbers will be four numbers

∵ The new sum = 60 - 16

∴ The new sum = 44

∵ The set has 4 numbers

∴ The new mean = 44 ÷ 4 = 11

The new mean is 11

Learn more:

You can learn more about the mean in brainly.com/question/5069437

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