Math Problem Statement
What is the mean of 1 | 6 2 | 3 | 4 9 4 | 0 1 4 8 5 | 0 1 5 6 9 6 | 2 3 3 6
Solution
The data you've provided appears to be in a stem-and-leaf plot format. Here's the interpretation of the numbers:
- Stem 1 | 6: Represents the number 16.
- Stem 2 | (empty): Represents no numbers for the 20s range.
- Stem 3 | 4 9: Represents the numbers 34 and 39.
- Stem 4 | 0 1 4 8: Represents the numbers 40, 41, 44, and 48.
- Stem 5 | 0 1 5 6 9: Represents the numbers 50, 51, 55, 56, and 59.
- Stem 6 | 2 3 3 6: Represents the numbers 62, 63, 63, and 66.
The full data set is:
16, 34, 39, 40, 41, 44, 48, 50, 51, 55, 56, 59, 62, 63, 63, 66
Now, let's calculate the mean (average):
The formula for the mean is:
I will calculate that next.The mean of the given data is .
Would you like more details or have any questions about the calculation?
Here are 5 related questions:
- How would the mean change if an additional value were added to the data set?
- Can you calculate the median of this stem-and-leaf data?
- What is the range of the numbers in this dataset?
- How does the presence of multiple 63's affect the data's distribution?
- What is the variance or standard deviation of the dataset?
Tip: In a stem-and-leaf plot, the "leaf" part gives the actual digits, while the "stem" indicates the leading digit (tens, hundreds, etc.).
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Interpretation
Mean Calculation
Stem-and-Leaf Plot
Formulas
Mean = (Sum of all values) / (Number of values)
Theorems
Basic statistical operations related to data analysis and measures of central tendency
Suitable Grade Level
Grades 6-8