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The value that should be added to the data set to decrease the mean by 1 is **13**.

Would you like more details on how this was calculated or have any other questions?

Here are some related questions for further practice:
1. How would the mean change if a number larger than the original mean is added?
2. What is the median of the original data set?
3. What would happen to the range of the data if a value of 30 were added?
4. How do you calculate the new mean if two values are added instead of one?
5. How can the mean be increased by 2 by adding one value?

**Tip**: When solving for how a single new data point affects the mean, remember to set up an equation based on the total sum and divide by the new number of data points.

Which value could be added to the data set to decrease the mean by 1?

Learn how to determine which value should be added to a data set (16, 18, 20, 20, 21) to decrease the mean by 1. This problem explores concepts of mean calculation and introduces algebraic techniques. Suitable for students in Grades 6-8.

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