Richard has the following data:

x,16,16,20
If the mean is 17, which number could x be?


The mean (average) is given by:

\[
\text{Mean} = \frac{\text{Sum of all values}}{\text{Total number of values}}
\]

We have the numbers: \( x, 16, 16, 20 \), and the mean is given as 17.

### Step 1: Set Up the Equation
\[
\frac{x + 16 + 16 + 20}{4} = 17
\]

### Step 2: Solve for \( x \)

\[
\frac{x + 52}{4} = 17
\]

Multiply both sides by 4:

\[
x + 52 = 68
\]

Subtract 52 from both sides:

\[
x = 16
\]

### Answer:
\( x \) could be **16**.

Would you like a further breakdown or more examples?  

### Related Questions:
1. How do you calculate the median of a dataset?
2. What happens to the mean if you add a new number to the dataset?
3. How do you find the mode of a dataset?
4. What is the range of the given dataset?
5. Can the mean be higher than the highest number in the dataset?

**Tip:** The mean is sensitive to extreme values (outliers), which can significantly affect the average.

Richard has the following data: x,16,16,20. If the mean is 17, which number could x be?

Learn how to determine the missing value in a dataset when given the mean. This problem involves fundamental statistical concepts such as calculating the mean and solving basic algebraic equations. Suitable for students in Grades 6-8.

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