Math Problem Statement
Here is some sample data that is already in a stem-and-leaf plot: What is the median 1 | 4 2 | 3 | 5 8 4 | 0 1 3 6 5 | 1 2 4 5 8 6 | 0 2 2 2
Solution
To find the median from the stem-and-leaf plot, follow these steps:
Step 1: List the Data
The given stem-and-leaf plot represents the following numbers:
- 1 | 4 → 14
- 2 | → No numbers in the 20s
- 3 | 5 8 → 35, 38
- 4 | 0 1 3 6 → 40, 41, 43, 46
- 5 | 1 2 4 5 8 → 51, 52, 54, 55, 58
- 6 | 0 2 2 2 → 60, 62, 62, 62
Thus, the dataset is:
14, 35, 38, 40, 41, 43, 46, 51, 52, 54, 55, 58, 60, 62, 62, 62
Step 2: Find the Median
The median is the middle value when the data is arranged in ascending order. Since there are 16 numbers, the median is the average of the 8th and 9th values.
- 8th value: 51
- 9th value: 52
Step 3: Calculate the Median
Final Answer:
The median is 51.5.
Would you like more details or have any questions?
Here are 5 related questions:
- How do you calculate the mode from this dataset?
- What is the range of this data?
- Can you find the quartiles from this dataset?
- How is a stem-and-leaf plot useful for determining data trends?
- How would the median change if one additional value was added?
Tip: Always make sure your data is ordered correctly before calculating the median.
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Math Problem Analysis
Mathematical Concepts
Statistics
Median
Stem-and-Leaf Plot
Formulas
Median = (n/2)th value if n is odd, or average of (n/2)th and (n/2 + 1)th values if n is even
Theorems
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Suitable Grade Level
Grades 6-8