The mean of five numbers is 12. If one number is removed an+E2:S12d replaced by a new number, which of the following scenarios will increase the mean?a.The new number is less than 12b.The new number is equal to 12c.The new number is greater than 12d.The new number has no effect on the mean
Question
The mean of five numbers is 12. If one number is removed an+E2:S12d replaced by a new number, which of the following scenarios will increase the mean?a.The new number is less than 12b.The new number is equal to 12c.The new number is greater than 12d.The new number has no effect on the mean
Solution
The mean (or average) of a set of numbers is calculated by adding all the numbers together and then dividing by the count of numbers.
In this case, the mean of five numbers is 12. This means that the total sum of these five numbers is 60 (because 12 * 5 = 60).
If one number is removed and replaced by a new number, the mean will change depending on the value of the new number.
a. If the new number is less than 12, the total sum of the five numbers will decrease, thus the mean will decrease. So, this scenario will not increase the mean.
b. If the new number is equal to 12, the total sum of the five numbers will remain the same, thus the mean will remain the same. So, this scenario will not increase the mean.
c. If the new number is greater than 12, the total sum of the five numbers will increase, thus the mean will increase. So, this scenario will increase the mean.
d. The new number will always have an effect on the mean unless it is equal to the number it is replacing.
So, the correct answer is c. The mean will increase if the new number is greater than 12.
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