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The question asks for the new mean if 15 were added to each number in the data set.

Given:
- The original mean is 83.
- If 15 is added to each value, the new mean will simply be the original mean plus 15.

Thus, the new mean is:
\[
\text{New Mean} = 83 + 15 = 98
\]

It looks like the provided answer is 97, but the correct answer is 98. Would you like to know more details or have any other questions?

Here are five related questions:
1. How does adding a constant to every number in a data set affect the mean?
2. What happens to the mean if you multiply every value in a data set by a constant?
3. How would the standard deviation change if a constant were added to each number in the data set?
4. What would be the new mean if you added 20 instead of 15 to each value?
5. How would removing an outlier affect the mean of a data set?

**Tip:** Adding or subtracting the same constant to every value in a data set shifts the mean by that same amount.

Suppose the mean of a data set was 83. If 15 were added to each number in the data set, what would be the new mean?

Learn how to find the new mean of a data set when a constant is added to each number. In this problem, 15 is added to each element of a set with a mean of 83, resulting in a new mean. Perfect for students in Grades 6-8 studying arithmetic mean and data manipulation.

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