Math Problem Statement
What is the median of the data represented in the stem-and-leaf plot?
Solution
This image shows a stem-and-leaf plot with data representing the number of marbles in students' collections. Here's how we can calculate the median of the data:
Data Breakdown:
- Stem 1: 14, 17
- Stem 2: 25
- Stem 3: 30
- Stem 4: 17
- Stem 5: 02, 05, 25
Step-by-Step Process:
-
List all the data values:
- 14, 17, 25, 30, 17, 02, 05, 25
-
Arrange the data in ascending order:
- 02, 05, 14, 17, 17, 25, 25, 30
-
Find the median:
- The median is the middle value of a data set. Since there are 8 values (an even number), the median will be the average of the two middle values.
- The two middle values are 17 and 17.
- So, the median is (17 + 17) / 2 = 17.
Thus, the median of the data is 17.
Would you like a more detailed explanation or have any other questions?
Here are some related questions you might find interesting:
- How do you calculate the median of a data set with an odd number of values?
- What are other types of plots that are helpful for visualizing data?
- How do you calculate the mean and mode of the data set?
- What is the difference between a stem-and-leaf plot and a histogram?
- How do you handle outliers when calculating the median?
Tip: To avoid errors when finding the median, always arrange the data in ascending order first!
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Math Problem Analysis
Mathematical Concepts
Statistics
Data Representation
Median
Formulas
Median = middle value (if odd number of data points), or average of middle two values (if even number of data points)
Theorems
Median theorem
Suitable Grade Level
Grades 5-7