Math Problem Statement
Richard has the following data:
x,16,16,20 If the mean is 17, which number could x be?
Solution
The mean (average) is given by:
We have the numbers: , and the mean is given as 17.
Step 1: Set Up the Equation
Step 2: Solve for
Multiply both sides by 4:
Subtract 52 from both sides:
Answer:
could be 16.
Would you like a further breakdown or more examples?
Related Questions:
- How do you calculate the median of a dataset?
- What happens to the mean if you add a new number to the dataset?
- How do you find the mode of a dataset?
- What is the range of the given dataset?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Mean (Average)
Formulas
Mean = (Sum of all values) / (Total number of values)
Theorems
Basic properties of the mean
Suitable Grade Level
Grades 6-8